top ::= # by David Simmons-Duffin (http://www.physics.harvard.edu/~davidsd) # March 2010 # # This grammar is free from context, and also free for you to use # however you like, although it's probably not a good idea to try # actually submitting any of these to the arXiv. Feel free to suggest # improvements or additions, particularly famous physicists or physics # concepts with funny names that I forgot. # # The code grew organically over several hours, so it may be poorly # organized, incomplete, and inconsistent. Hopefully the output # reflects that. ######## Numbers ######## zdigit ::= 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 nzdigit ::= 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 smallinteger ::= | | n ::= n | m | ######## Basic Algebra ######## ring ::= \Z | \Q | \R | \C | \mathbb{H} group ::= | liegroup ::= SU() | Sp() | SO() | G_2 | F_4 | E_6 | E_7 | E_8 | Spin() discretegroup ::= \Z | \Z_ | \Z^ | Hom(,) | H^(,) | H_(,) | Ext^(,) | M_() | SL_() | Dih_ groupaction ::= orbifold | quotient ######## Spaces ######## space ::= | | singspace ::= a | a | | | | | a bundle over | fibered over | the moduli space of | a | the of | a of | the near horizon geometry of pluralspace ::= s | s | copies of | fibered over | s | bundles over | moduli spaces of | s of spaceadj ::= | warped | squashed | non-compact | compact | hyper-Kahler | Kahler | exotic | projective | noncommutative | fuzzy | elliptically-fibered | spin | hyperbolic | Einstein | Ricci-flat | Euclidean | Minkowskian | planar | harmonic | symplectic | ALE | ALF spaceproperty ::= of holonomy | with bundletype ::= | line | affine | spacetype ::= Calabi-Yau -fold| Riemann surface| manifold| -fold| -manifold| symmetric space| K3| del-Pezzo| Klebanov-Strassler background| RS1 background| lens space| Hirzebruch surface| Enriques surface| rational surface| ALE fibration| ALF space| linear dilaton background| Atiyah-Hitchen manifold generalspacetype ::= surface | line | hyperplane | hypersurface properspacename ::= Anti de Sitter Space | de Sitter Space | Taub-NUT Space | superspace mathspace ::= AdS_ | S^ | R^ | CY_ | C^ | dS_ | T^ | x | P^ spacepart ::= boundary | conformal boundary | null future | horizon | NUT ######## More Mathematics ######## mapping ::= function | mapping | homomorphism | homeomorphism | isomorphism | surjective | injective | holomorphism | biholomorphism | isometry mathadj ::= trivial | nontrivial | zero | nonzero | general | discrete | abelian | non-abelian | equivariant | symmetric mathobj ::= fundamental group | cohomology | homology | torsion | monodromy | spin-structure | dimension | complex-structure | flux | B-field | H-flux representation ::= adjoint| symmetric tensor| antisymmetric tensor| singlet| doublet| triplet ######## Theories ######## theory ::= | singtheory ::= | pluraltheory ::= | theorymodifier ::= || on | deformed by s | on | compactified ::= living | compactified | dimensionally reduced | supported near ::= in the presence of | near | surrounded by | far from qft ::= | | | singqft ::= | | | a pluralqft ::= s qftadj ::= | | supersymmetric | N= | adjoint | superconformal | conformal | extremal | chiral | topological | -dimensional | twisted | topologically twisted | deformed | perturbative | nonperturbative | Toda | WZW qftproperty ::= with qftobj ::= a | s | superpotential | kahler potential | s | a | gauge group | a deformation | a defect genericqft ::= QFT| CFT| Matrix Model| TQFT| Theory theorytype ::= Effective Field | Quantum Field | Conformal Field | Soft-Collinear Effective | Topological Field | Heavy Quark Effective | low-energy Effective | String | Yang-Mills | Chern-Simons | gauge properqft ::= QCD | QED | supergravity | unparticle physics stringtheory ::= | singstringtheory ::= String Theory | F-Theory | M-Theory | Heterotic string theory | Topological String Theory | type IIA | type IIB pluralstringtheory ::= String theories | Heterotic strings | type IIA strings | type IIB strings | type I strings | topological strings | bosonic strings ######## Physics Objects ######## theoryobj ::= | singtheoryobj ::= a black hole | a singularity | a brane | a stack of branes | a defect | an instanton | an orientifold plane | a instanton | a brane probe pluraltheoryobj ::= black holes | singularities | branes | defects | orientifold planes | instantons | instantons bhadj ::= orientifold | BTZ | Kerr | Reisner-Nordstrom | small | large | Schwarzschild | brane | massive | extremal singularityadj ::= A_ | B_ | C_ | D_ | E_6 | E_7 | E_8 | G_2 | F_4 | conifold | conical | ADE | orbifold | du Val | Kleinian | rational double-point | canonical | exceptional | branetype ::= NS5 | D | (p,q) 7- | (p,q) | noncommutative | black | fractional D | special lagrangian | canonical co-isotropic | holomorphic | A-type | B-type braneaction ::= | wrapping a | wrapped on operator ::= operator| Chern-Simons term| F-term| Wilson line| 't Hooft line| operator| D-term optype ::= primary | quasi-primary | marginal | relevant | irrelevant | four-quark | multi-fermion | loop | local | nonlocal | BPS field ::= boson| fermion| gauge-field| -form| scalar objectplace ::= at the center of the galaxy | in our solar system | on the surface of the sun | at the edge of our universe | in the CMB | at the LHC | at the Tevatron | at SNO | at ATLAS | in the interstellar medium | at DAMA | at CDMS | in the early universe | during inflation | after reheating | at the GUT scale | at the weak scale | at $\Lambda_{QCD}$ | at the intermediate scale | at the Planck scale ######## Model ######## model ::= | singmodel ::= a model of | a model for | a model | the | the | | inflation | | | pluralmodel ::= models of | models | models of s modelmodifier ::= | of | for | with s propermodel ::= Standard Model | MSSM | MSSM | Thirring Model | Ising Model | XXZ Model | O(n) Model | Model | Landau-Ginzburg Model | A-model | B-model nnnn ::= N | N generalmodel ::= gravity | general relativity | RS1 | RS2 | technicolor | gauge mediation | anomaly mediation | | mechanics | dynamics | hydrodynamics | thermodynamics | unparticle physics dynadjective ::= quantum | | ######## Adjectives ######## physadj ::= | non- | | | | | | | | | | | | | | nondescriptivephysadj ::= seesaw | curvaton | hybrid | quantum | loop | cosmon | scalar | | | isocurvature | brane | condensate | three-fluid | multi-field | variable mass | particle | matrix | lattice | inflaton | bulk | boundary | halo | braneworld | GUT | | scalar field | RS | flavor | Landau-Ginzburg | Planck | | left-right | large-N | parent | QCD | QED | BPS | unparticle | high-scale | low-scale | large mass descriptivephysadj ::= non-gaussian | simple | inflationary | inflationary | exactly-soluble | unified | minimal | quantum | linear | nonlinear | gravitational | quantum gravitational | cosmological | supersymmetric | holographic | entropic | alternative | nonstandard | multidimensional | nonlocal | chiral | phenomenological | nonperturbative | perturbative | warped | -dimensional | conformal | modified | supergravity mediated | gauge mediated | anomaly mediated | superconformal | extra-ordinary | general | anthropic | nilpotent | asymmetric | symmetric | invariant | spontaneous | thermodynamic | planar | inertial | metastable | unstable | tachyonic | transverse | longitudinal | momentum-dependent | exclusive | diffractive | dynamical | effective | acoustic | primordial | possible | impossible | calculable | predictive | unconventional | macroscopic | microscopic | holomorphic | consistent | inconsistent | anomalous inflationadj ::= | | | | $D$-Term | anisotropic | asymptotic | brane | braneworld chaotic | Brans-Dicke | chaotic | cosmological | de Sitter | double | dynamical | elastic | extended | extranatural | F-term | hybrid | false vacuum | first-order | general | generalized assisted | higher-curvature | hyper | inflatonless | inspired | inverted | K | large-scale | late-time | mild | low scale | modular invariant | multi-component | multi-field stochastic | multi-field | mutated | natural | new | $\Omega<1$ | assisted | brane-assisted | tachyonic | liouville | open | Cobe-Dmr-normalized | D-term | dissipative | supersymmetric | eternal | extended | extreme | facilitated | warm | generalized | gravitoelectromagnetic | holographic | induced | inhomogeneous | intermediate | kinetic | local | mass | moduli | slow-roll | multi-scalar | supergravity | natural | boundary | cosmic | dominated | early | exact | fake | field line | fresh | gravity driven | induced-gravity | intermediate scale | Jordan-Brans-Dicke | large field | locked | massive | monopole | multiple | multiple-stage | supergravity | non-slow-roll | old | particle physics | pole-like | power-law mass | precise | pseudonatural | quasi-open | racetrack | running-mass | simple | single scalar | single-bubble | spacetime | noncommutative | standard | steady-state | successful | sunergistic | tensor field | thermal brane | tilted ghost | topological | tsunami | unified | weak scale | noise-induced | one-bubble | open-universe | patch | polynomial | primary | quadratic | quintessential | rapid | asymmetric | scalar-tensor | non-canonical | smooth | spin-driven | Starobinsky | stochastic | string-forming | TeV-scale | three form | topological defect | viable | weak-dissipative | nonminimal | oscillating | phantom | power law | pre-big-bang | primordial | quantum | R-invariant | running | shear-free | rotating | slinky | spinodal | thermal | tidal | tree-level | two-stage | anthropic ######## Physicist ######## physicist ::= | | - physicistname ::= Weinberg | Feynman | Witten | Seiberg | Polchinski | Intrilligator | Vafa | Randall | Sundrum | Strominger | Georgi | Glashow | Coleman | Bohr | Fermi | Heisenberg | Maldacena | Einstein | Kachru | Arkani-Hamed | Schwinger | Higgs | Hitchin | Hawking | Stueckelberg | Unruh | Aranov-Bohm | 't Hooft | Silverstein | Horava | Lifschitz | Beckenstein | Planck | Euler | Lagrange | Maxwell | Boltzmann | Lorentz | Poincare | Susskind | Polyakov | Gell-Mann | Penrose | Dyson | Dirac | Argyres | Douglass | Gross | Politzer | Cabibo | Kobayashi | Denef | Shenker | Moore | Nekrosov | Gaiotto | Motl | Strassler | Klebanov | Nelson | Gubser | Verlinde | Bogoliubov | Schwartz ######## Concepts ######## mathconcept ::= | singmathconcept ::= integrability | perturbation theory | localization | duality | chaos | structure | 's equation | dimensionality | -duality | unitarity | representation theory | Clebsch-Gordon decomposition | sheaf cohomology | anomaly matching | pluralmathconcept ::= gerbs | path integrals | Feynman diagrams | structures | equations | 's equations | conformal blocks | operators | -dualities | points | characters | central charges | charges | currents | representations | conditions | symplectic quotients | hyperkahler quotients | Nahm's equations | vortices | vortex equations | Hilbert schemes | integration cycles | divisors | line bundles | index theorems | flow equations | metrics | Gromov-Witten invariants | Gopakumar-Vafa invariants | Donaldson polynomials physconcept ::= | pluralphysconcept ::= examples of | equations of | -point correlators | algebras | fragmentation functions | decay constants | anomaly constraints | anomalous dimensions | PDFs | observables | effects of | partition functions | collisions | effects | parameters | hierarchies | | | amplitudes | scattering amplitudes | geometric transitions singphysconcept ::= invariance | symmetry | symmetry breaking | | confinement | the limit | the law | the algebra | the beta function | the Wilsonian effective action | the PI effective action | the partition function | production | the effective potential | renormalization | regularization | backreaction | AdS/CFT | the partition function | a hierarchy | the formalism | the formalism | regularization | the 't Hooft anomaly matching condition | the S-matrix | the Hamiltonian | the Lagrangian | the omega deformation | the Hilbert space | the Hilbert space | "" | | the OPE | IR behavior | UV behavior | a warped throat | a holographic superconductor | the charge | the gyromagnetic ratio physconceptnoun ::= sectors | vacua | solutions | states | geometries | currents | backgrounds | wavefunctions | excitations | branching ratios | amplitudes | decays | exotics | corrections | interactions | inhomogeneities | correlation functions dualtype ::=T|U|S|magnetic|electric|gravitational|boundary|Seiberg|Geometric Langlands symmviol ::= | violation of | violation of | breaking of symmetry ::= dilation | translation | rotation | Lorentz | conformal | superconformal | super | Poincare | worldsheet | diffeomorphism | superdiffeomorphism | | dual-superconformal | Yangian | Virosoro mechanism ::= the mechanism | the mechanism mechanismadj ::= Higgs | seesaw | | attractor | anomaly inflow | reheating | SuperHiggs | confinement effect ::= the effect | the effect | effects effectadj ::= | quantum Hall | Unruh | Stark | Casimir ######## Subject ######## physsubject ::= | singphyssubject ::= quintessence | inflation | inflation | dark matter | dark energy | spacetime foam | instanton gas | entropy | entanglement entropy | flavor | bubble nucleation pluralphyssubject ::= condensates | branes | cosmic rays | instanton liquids | fluctuations | bubbles particle ::= hadron| lepton| quark| neutrino| electron| positron| WIMP| slepton| squark| kk graviton| gluon| W-boson| Z-boson| neutralino| chargino| ghost| axion| monopole| soliton| dion| kaon| B-meson| pion| heavy-ion| Higgs subject ::= | pluralsubject ::= | | s | in | in | | | | | | some | on specific ::= specific | general | particular | conspicuous | little-known examples ::= cases | examples | illustrations | computations | frameworks | paradigms singsubject ::= | | | | | |
of | in | in | | | the of |
of in | the / correspondence |
-dual of | -duality in | | | ( ) | on | | a certain notion of modeltheory ::= | including ::= including | excluding | involving | taking into account correspondent ::= | | | | solution ::=
solution |
solution |
solution |
solution | a resolution of | a resolution of | a approach to solved ::= to | of via ::= via | through | from | by soladj ::= better | new | beautiful | quantum | physical | old | clever | minimal | non-minimal | | anthropic | entropic | possible | probable | partial problem ::= the problem problemtype ::= hierarchy | flavor | cosmological constant | lithium | mu | strong CP | naturalness | little hierarchy | SUSY CP | LHC inverse | cosmic coincidence | U(1) | fine-tuning | mu/B_mu | confinement ######## Verbs ######## verb ::= derive | obtain | deduce | discover | find | conjecture | check | calculate | predict verbed ::= derived | obtained | deduced | discovered | found | conjectured | realized | checked | calculated | predicted studyverb ::= study | solve | investigate | demystify | bound | classify | obtain | derive | generalize | explore | examine | consider | analyze | evaluate | review | survey | explain | clarify | shed light on | extend | construct | reconstruct | calculate | discuss | formulate | reformulate | understand studyingverb ::= studying | solving | investigating | demystifying | bounding | classifying | obtaining | deriving | generalizing | exploring | examining | considering | analyzing | evaluating | reviewing | surveying | explaining | clarifying | formulating | reformulating | extending | constructing | reconstructing | discussing | understanding studiedverb ::= studied | solved | investigated | demystified | bounded | classified | obtained | derived | generalized | explored | examined | considered | analyzed | evaluated | reviewed | surveyed | recalled | explained | clarified | extended | constructed | reconstructed | discussed | understood singbeingverb ::= exists | is present | must be there | must be present | does not exist revealed ::= revealed | produced | led to | led us to | exposed | uncovered singstatementverb ::= is | is equivalent to | is related to | derives from | reduces to | follows from | lets us | can be interpreted as | can be from | turns out to be equivalent to | relates to | depends on | | can be incorporated into | can be brought to bear in | is useful for | is the final component in pluralstatementverb ::= are the same as | are equivalent to | are related to | let us | can compute | follow from | can be interpreted as | can be from | turn out to be equivalent to | relate to | depend on | derive from | reduce to | | can be incorporated into | can be brought to bear in | are useful for | relate to yields ::= yields | gives | provides | produces | gives rise to prove ::= prove | show | demonstrate | establish | illustrate | determine | confirm | verify contradict ::= contradict | disagree with | agree with | find inconsistencies with | argue against | run counter to | cannot corroborate | cannot support | challenge | fail to ######## Language ######## capital ::= A|B|C|D|E|F|G|H|I|J|K|L|M|N|O|P|Q|R|S|T|U|V|W|X|Y|Z article ::= a | the adverb ::= remarkably | actually | interestingly | however | moreover | therefore | thus | consequently | curiously | fortunately | unfortunately | surprisingly | unsurprisingly | quite simply | in short recently ::= recently | in recent years | in recent papers | over the last decade | in the 20th century | among particle physicists | among mathematicians thereby ::= | thereby | completely | conclusively | wholly | thoroughly | fully | ultimately | unambiguously motivated ::= motivated by this | inspired by this | continuing in this vein | continuing with this program assuming ::= if | whenever | provided that | supposing that | assuming | assuming that | as long as | given that preposition ::= after | before | while | when whenphrase ::= actiondone ::= reduction | compactification | formulation | extension | solution | analytic continuation qualifier ::= at least in the context of | without regard to | in the approximation that | in the limit that | as realized in | as hinted at by | as revealed by | by symmetry | by symmetry | whenever | as we will see in this paper | with the help of | as will be made clear | as will be shortly | in the case inorderto ::= to that | in order to that | in order to avoid | to best | to | to recent results linking and | in a way that | to explore questions such as the conjecture was ::= has been | was muchwork ::= much work done | interesting progress made | substantial progress has been made | minimal progress made | some work done | little work done | a fair amount of work done | partial progress made test ::= | test | probe | measurement | check computation ::= computation | calculation | determination correspondence ::= correspondence | conjecture | theorem | result fact ::= fact | truth | principle | law | theorem | rule | pattern | structure | framework | edifice thesame ::= the same | the very same | our very same | our | the exact same | a previously studied beautiful ::= beautiful | surprising | elegant | pretty | arresting | charming | simple | ingenious | sophisticated | intricate | elaborate | detailed | confusing | bewildering | perplexing | elaborate | involved | complicated | startling | unforseen | amazing | extraordinary | remarkable | shocking | unexpected | deep | mysterious | profound | unsurprising | essential | fundamental | crucial | critical | key | important ######## Statements & Sentences ######## statement ::= | | is | are asentence ::= , | , on | , | , on | , | on | | , work on has opened up a class of models | , | , that | . we take a approach | . , | offers the possibility of | a framework for | is usually | are usually bsentence ::= , | , | we | we solve | we take a approach to | we that | we a correspondence between and | , and | , and that | , and that, , | , that | , we | , we | we evidence for | using the behavior of , we | we present a criterion for | we make contact with , | we make contact between and | we why | we use to | we use , together with to | in this paper, csentence ::= , | , | we take a approach | , | next, | is also | are also | is also | are also | is also | are also | we a correspondence between and | we also agreement with | the of localizes to | | a : | is made easier by | our of | as an interesting outcome of this work for , | , | , | we therefore a result of that | this probably , though we've been unable to a | this is most likely a result of , an observation first mentioned in work on | this an extremely precise of | the depends, , on whether | a part of this analysis | in this , makes a appearance | why this happens can be by | the title of this article refers to | we that | this has long been understood in terms of dsentence ::= , | , we that | | , we that, , | . , | our results that closing ::= finally, | , there is much to be done | we hope this paper provides a good starting point for | we leave the rest for future study | , is beyond the scope of this paper | we will provide more details in a future paper | our results are similar to work done by | we believe this is indicative of a | given this, our work may seem quite abstract ::= . . . . | . , . . . . | . . . . . | . , . . . . . | . . . . | . , . . . . | . , . . . . . | . . , . . . . | . . . , . . . title ::= | | fancytitle ::= and | and | and | from to | | towards | | as | | : | approaches to | why are | : a approach | on | progress in author ::= . | . . authors ::= | , morecomments ::= figures | JHEP style | Latex file | no figures | BibTeX | JHEP3 | typos corrected | tables | added refs | minor changes | minor corrections | published in PRD | reference added | pdflatex | based on a talk given on 's 0th birthday | talk presented at the international workshop comments ::= pages | , primarysubj ::= High Energy Physics - Theory (hep-th)| High Energy Physics - Phenomenology (hep-ph)| secondarysubj ::= Nuclear Theory (nucl-th)| Cosmology and Extragalactic Astrophysics (astro-ph.CO)| General Relativity and Quantum Cosmology (gr-qc)| Statistical Mechanics (cond-mat.stat-mech) papersubjects ::= | ; paper ::= \\ <authors> \\ <comments> \\ <papersubjects> \\ <abstract>