• string theory

• books about string theory

Ingredients

• quantum field theory

• sigma-model,

  • CFT, perturbation theory

• effective background QFT

  • gravity, supergravity, Yang-Mills theory, quantum gravity

Critical string models

• heterotic string theory

  • Green-Schwarz mechanism, differential string structure,

  • dual heterotic string theory

    • differential fivebrane structure

• type II string theory

  • type IIA string theory

  • type IIB string theory

    • F-theory

• string field theory

• duality in string theory

  • T-duality, mirror symmetry

  • S-duality, electric-magnetic duality

  • U-duality

  • open/closed string duality

    • AdS/CFT correspondence, holographic principle

    • KLT relations

• 11-dimensional supergravity, M-theory

  • Hořava-Witten theory

Extended objects

• brane

• D-brane

  • D0-brane, D2-brane, D4-brane

  • D1-brane, D3-brane, D5-brane

  • RR-field, differential K-theory

• NS-brane

  • string, sigma-model

    • spinning string, superstring

    • B2-field

  • NS5-brane

    • B6-field

• M-brane

  • M2-brane

    • C3-field

    • ABJM theory, BLG model

  • M5-brane

    • C6-field

    • 6d (2,0)-supersymmetric QFT

Topological strings

• topological string, TCFT

  • A-model, B-model

• topological M-theory

Backgrounds

• target space, background gauge field

• twisted smooth cohomology in string theory

• landscape of string theory vacua

Phenomenology

• string phenomenology

  • moduli stabilization

  • G2-MSSM

physics, mathematical physics

Surveys, textbooks and lecture notes

• (higher) category theory and physics

• geometry of physics

• books and reviews, physics resources

theory (physics), model (physics)

• mechanics

  • mass, charge, momentum, angular momentum, moment of inertia

  • dynamics on Lie groups

    • rigid body dynamics

• field (physics)

  • Lagrangian mechanics

    • configuration space, state

    • action functional, Lagrangian

    • covariant phase space, Euler-Lagrange equations

  • Hamiltonian mechanics

    • phase space

    • symplectic geometry

      • Poisson manifold

      • symplectic manifold

      • symplectic groupoid

    • multisymplectic geometry

      • n-symplectic manifold

  • spacetime

    • smooth Lorentzian manifold

    • special relativity

    • general relativity

    • gravity

      • supergravity, dilaton gravity

      • black hole

• Classical field theory

  • classical physics

    • classical mechanics
    • waves and optics
    • thermodynamics

• Quantum Mechanics

  • in terms of †-compact categories

  • quantum information

  • Hamiltonian operator

  • density matrix

  • Kochen-Specker theorem

  • Bell's theorem

  • Gleason's theorem

• Quantization

  • geometric quantization

  • deformation quantization

  • path integral quantization

  • semiclassical approximation

• Quantum Field Theory

  • Axiomatizations

    • algebraic QFT

      • Wightman axioms

      • Haag-Kastler axioms

        • operator algebra

        • local net

          • conformal net

      • Reeh-Schlieder theorem

      • Osterwalder-Schrader theorem

      • PCT theorem

      • Bisognano-Wichmann theorem

        • modular theory

      • spin-statistics theorem

        • boson, fermion

    • functorial QFT

      • cobordism

      • (∞,n)-category of cobordisms

      • cobordism hypothesis-theorem

      • extended topological quantum field theory

  • Tools

    • perturbative quantum field theory, vacuum

    • effective quantum field theory

    • renormalization

    • BV-BRST formalism

    • geometric ∞-function theory

  • particle physics

    • phenomenology

    • models

      • standard model of particle physics

      • fields and quanta

      • Grand Unified Theories, MSSM

    • scattering amplitude

      • on-shell recursion, KLT relations

  • Structural phenomena

    • universality class

    • quantum anomaly

      • Green-Schwarz mechanism

    • instanton

    • spontaneously broken symmetry

    • Kaluza-Klein mechanism

    • integrable systems

    • holonomic quantum fields

  • Types of quantum field thories

    • TQFT

      • 2d TQFT

      • Dijkgraaf-Witten theory

      • Chern-Simons theory

    • TCFT

      • A-model, B-model

      • homological mirror symmetry

    • QFT with defects

    • conformal field theory

    • (1,1)-dimensional Euclidean field theories and K-theory

    • (2,1)-dimensional Euclidean field theory and elliptic cohomology

    • CFT

      • WZW model

      • 6d (2,0)-supersymmetric QFT

    • gauge theory

      • field strength

      • gauge group, gauge transformation, gauge fixing

      • examples

        • electromagnetic field, QED

          • electric charge
          • magnetic charge

        • Yang-Mills field, QCD

          • Yang-Mills theory
          • spinors in Yang-Mills theory
          • topological Yang-Mills theory

        • Kalb-Ramond field

        • supergravity C-field

        • RR field

        • first-order formulation of gravity

          • general covariance
          • supergravity * D'Auria-Fre formulation of supergravity
          • gravity as a BF-theory

    • sigma-model

      • particle, relativistic particle, fundamental particle, spinning particle, superparticle

      • string, spinning string, superstring

      • membrane

      • AKSZ theory

• String Theory

  • string theory results applied elsewhere

functorial quantum field theory

Contents

• cobordism category

  • cobordism

  • extended cobordism

  • (∞,n)-category of cobordisms

  • Riemannian bordism category

• cobordism hypothesis

  • generalized tangle hypothesis

  • classification of TQFTs

• FQFT

  • extended TQFT

  • CFT

    • vertex operator algebra

  • TQFT

    • Reshetikhin–Turaev model / Chern-Simons theory

    • HQFT

    • TCFT

      • A-model, B-model, Gromov-Witten theory

      • homological mirror symmetry

• FQFT and cohomology

  • (1,1)-dimensional Euclidean field theories and K-theory

  • (2,1)-dimensional Euclidean field theory

  • geometric models for tmf

• holographic principle of higher category theory

  • holographic principle

  • AdS/CFT correspondence

  • quantization via the A-model