A unified approach to standard and exotic dualizations through graded geometry

DOI10.1007/s00220-020-03728-xzbMath1445.81059arXiv1908.11663OpenAlexW3102653517MaRDI QIDQ2192722

Georgios Karagiannis, Athanasios Chatzistavrakidis, Peter Schupp

Publication date: 17 August 2020

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

Full work available at URL: https://arxiv.org/abs/1908.11663

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization in field theory; cohomological methods (81T70) Quantization of the gravitational field (83C45) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Electromagnetic theory (general) (78A25) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Analysis on supermanifolds or graded manifolds (58C50) Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) (81T35)

Related Items

Duality hierarchies and differential graded Lie algebras, Gravity as a gapless phase and biform symmetries, Classification of primary constraints for new general relativity in the premetric approach, Scalar induced gravitational waves from Chern-Simons gravity during inflation era, Higher spins from exotic dualisations

Cites Work

• D-brane Wess-Zumino terms and U-duality
• String solitons and T-duality
• Exotic branes in string theory
• Non-commutative/non-associative IIA (IIB) geometries from \(Q\)- and \(R\)-branes and their intersections
• \(G^{+++}\) and brane solutions
• Exotic tensor gauge theory and duality
• Tensor gauge fields in arbitrary representations of \(\operatorname{GL}(D,\mathbb R)\). Duality and Poincaré lemma
• Non-BPS D8-branes and dynamic domain walls in massive IIA supergravities
• Tensor fields of mixed Young symmetry type and \(N\)-complexes
• Exotic dual of type II double field theory
• Dual double field theory
• Tensor Galileons and gravity
• Exotic branes in exceptional field theory: \(E_{7(7)}\) and beyond
• Exotic branes in exceptional field theory: the SL(5) duality group
• Off-shell Hodge dualities in linearised gravity and \(E_{11}\)
• Weaving the exotic web
• Duality of type-II 7-branes and 8-branes
• Generalized cohomology for irreducible tensor fields of mixed Young symmetry type
• Gauge fields and infinite chains of dualities
• Non-geometric fluxes and mixed-symmetry potentials
• E ₁₁ and M theory
• U-dual branes and mixed symmetry tensor fields
• A formal introduction to Horndeski and Galileon theories and their generalizations
• Higher Poincaré lemma and integrability
• Very extended E ₈ and A ₈ at low levels, gravity and supergravity
• Dirichlet Branes and Ramond-Ramond Charges
• Introduction to Graded Geometry, Batalin-Vilkovisky Formalism and their Applications
• Massive gauge-invariant field theories on spaces of constant curvature
• Frame-like off-shell dualization for mixed-symmetry gauge fields
• The graded differential geometry of mixed symmetry tensors
• Unnamed Item
• Unnamed Item