Twisted supergravity and Koszul duality: a case study in \(\operatorname{AdS}_3\)

DOI10.1007/s00220-021-04065-3zbMath1465.81064arXiv2001.02177OpenAlexW2998883586MaRDI QIDQ2025631

Kevin Costello, Natalie M. Paquette

Publication date: 14 May 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.02177

zbMATH Keywords

Koszul duality

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supergravity (83E50) Supersymmetric field theories in quantum mechanics (81T60) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Spinor and twistor methods applied to problems in quantum theory (81R25) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Eta-invariants, Chern-Simons invariants (58J28) Topology and geometry of orbifolds (57R18) Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) (81T35) Geometric Langlands program (algebro-geometric aspects) (14D24)

Related Items (13)

Twistorial monopoles \& chiral algebras ⋮ The celestial chiral algebra of self-dual gravity on Eguchi-Hanson space ⋮ Localization on \(\mathrm{AdS}_3\times\mathrm{S}^2\). I: The 4d/5d connection in off-shell Euclidean supergravity ⋮ Burns space and holography ⋮ One-loop corrections to the celestial chiral algebra from Koszul duality ⋮ Celestial holography meets twisted holography: 4d amplitudes from chiral correlators ⋮ Maximally twisted eleven-dimensional supergravity ⋮ The 4d/2d correspondence in twistor space and holomorphic Wilson lines ⋮ Twisted eleven-dimensional supergravity ⋮ Twisted holography and celestial holography from boundary chiral algebra ⋮ Mini-workshop: Recent developments in representation theory and mathematical physics. Abstracts from the mini-workshop held March 20--26, 2022 ⋮ Koszul duality in quantum field theory ⋮ Superstrings in thermal Anti-de Sitter space

Cites Work

• Unnamed Item
• Unnamed Item
• Localization in supergravity and quantum \(\mathrm{AdS}_{4}\mathrm{CFT}_{3}\) holography
• Higher spins \& strings
• Chiral Koszul duality
• Curved Koszul duality theory
• Microscopic formulation of black holes in string theory
• Topological strings and integrable hierarchies
• On the worldsheet derivation of large \(N\) dualities for the superstring
• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• Elliptic genera of symmetric products and second quantized strings
• Exclusion statistics in conformal field theory -- generalized fermions and spinons for level-\(1\) WZW theories
• Six-dimensional supergravity on \(S^3\times\text{AdS}_3\) and 2d conformal field theory
• Large \(N\) elliptic genus and AdS/CFT correspondence
• Conformal field theory of AdS background with Ramond-Ramond flux
• The covariant chiral ring
• The supersymmetric affine Yangian
• Spinning AdS loop diagrams: two point functions
• Higher spin algebras and large \( \mathcal{N}=4\) holography
• Supersymmetric localization in \(\mathrm{AdS}_{5}\) and the protected chiral algebra
• BRST quantization and equivariant cohomology: localization with asymptotic boundaries
• Gauge theory and integrability. II
• Chiral de Rham complex
• Matrix models, topological strings, and supersymmetric gauge theories
• Pure and twisted holography
• Localization of the action in AdS/CFT
• Secondary products in supersymmetric field theory
• Twisting and localization in supergravity: equivariant cohomology of BPS black holes
• The worldsheet dual of the symmetric product CFT
• Minimal \(\mathrm{AdS}_3\)
• Factorization Algebras in Quantum Field Theory
• On the Classification of Topological Field Theories
• Minimal model holography
• Stringy symmetries and the higher spin square
• Algebraic Operads

This page was built for publication: Twisted supergravity and Koszul duality: a case study in \(\operatorname{AdS}_3\)