Generalised geometry, eleven dimensions and \(E_{11}\)

DOI10.1007/JHEP02(2012)018zbMath1309.81239arXiv1111.1642OpenAlexW1995004276MaRDI QIDQ2340668

Peter C. West

Publication date: 20 April 2015

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1642

zbMATH Keywords

M-theorystring duality

Mathematics Subject Classification ID

Supergravity (83E50) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Kaluza-Klein and other higher-dimensional theories (83E15)

Related Items (23)

\(U\)-gravity: \(\mathrm{SL}(N)\) ⋮ Gravitational coset models ⋮ Generalised space-time and gauge transformations ⋮ E11 in 11D ⋮ U-geometry: \(\mathrm{SL}(5)\) ⋮ Exploring double field theory ⋮ \(E_{8}\) duality and dual gravity ⋮ Extended geometry and gauged maximal supergravity ⋮ IIB supergravity and the \(E_{6(6)}\) covariant vector-tensor hierarchy ⋮ Exceptional geometry and Borcherds superalgebras ⋮ Gauged double field theory ⋮ Super-exceptional geometry: origin of heterotic M-theory and super-exceptional embedding construction of M5 ⋮ Subsectors, Dynkin diagrams and new generalised geometries ⋮ E11 and the non-linear dual graviton ⋮ Supersymmetry for gauged double field theory and generalised Scherk-Schwarz reductions ⋮ Beyond \(E_{11}\) ⋮ \(E_{11}\) must be a symmetry of strings and branes ⋮ Exotic branes in exceptional field theory: the SL(5) duality group ⋮ On supersymmetric \(E_{11}\) exceptional field theory ⋮ Ramond-Ramond cohomology and O\((D,D)\) T-duality ⋮ \(E_{11}\), generalised space-time and equations of motion in four dimensions ⋮ Timelike U-dualities in generalised geometry ⋮ Super-Clifford gravity, higher spins, generalized supergeometry and much more

Cites Work

• \(E_7(7)\) invariant Lagrangian of \(d\) = 4 \( \mathcal{N} \) = 8 supergravity
• Generalized geometry and M theory
• Generalized complex geometry
• Brackets, forms and invariant functionals
• The IIA, IIB and eleven-dimensional theories and their common \(E_{11}\) origin
• \(E_{11}\), SL(32) and central charges
• Background independent action for double field theory
• Generalized metric formulation of double field theory
• Supergravity as generalised geometry I: type II theories
• Duality invariant actions and generalised geometry
• E ₁₁ and M theory
• Kaluza-Klein supergravity in ten dimensions
• Very extended E ₈ and A ₈ at low levels, gravity and supergravity
• Generalized Calabi-Yau Manifolds
• Hidden superconformal symmetry in M-theory
• Duality rotations in string theory
• Duality rotations in membrane theory
• Kac-Moody symmetries of IIB supergravity

This page was built for publication: Generalised geometry, eleven dimensions and \(E_{11}\)