Duality invariant actions and generalised geometry

DOI10.1007/JHEP02(2012)108zbMath1309.81201arXiv1111.0459OpenAlexW3101545881MaRDI QIDQ2340573

David S. Berman, Hadi Godazgar, Peter C. West, Malcolm J. Perry

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/1111.0459

zbMATH Keywords

M-theorysupergravity modelsstring 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) Applications of group representations to physics and other areas of science (20C35)

Related Items

Generalised geometry from the ground up ⋮ \({E_d}_{(d)}\times \mathbb{R}^{+}\) generalised geometry, connections and M theory ⋮ Lobotomy of flux compactifications ⋮ Einstein-Cartan calculus for exceptional geometry ⋮ \(U\)-gravity: \(\mathrm{SL}(N)\) ⋮ Strings and branes are waves ⋮ Generalised space-time and gauge transformations ⋮ Global aspects of double geometry ⋮ Supersymmetric \(E_{7(7)}\) exceptional field theory ⋮ The geometry behind double geometry ⋮ Localized Kaluza-Klein 6-brane ⋮ Kerr-Schild double field theory and classical double copy ⋮ Large gauge transformations in double field theory ⋮ U-geometry: \(\mathrm{SL}(5)\) ⋮ Gauged supergravities in 5 and 6 dimensions from generalised Scherk-Schwarz reductions ⋮ Exploring double field theory ⋮ \(E_{8}\) duality and dual gravity ⋮ Extended geometry and gauged maximal supergravity ⋮ Comments on double field theory and diffeomorphisms ⋮ M5 algebra and \(\mathrm{SO}(5,5)\) duality ⋮ Towards weakly constrained double field theory ⋮ \(E_{8(8)}\) exceptional field theory: geometry, fermions and supersymmetry ⋮ The exceptional generalised geometry of supersymmetric AdS flux backgrounds ⋮ Exceptional field theory: SL(5) ⋮ World-volume effective action of exotic five-brane in M-theory ⋮ Double supergeometry ⋮ Tensor hierarchy and generalized Cartan calculus in \(\mathrm{SL}(3) \times\mathrm{SL}(2)\) exceptional field theory ⋮ IIB supergravity and the \(E_{6(6)}\) covariant vector-tensor hierarchy ⋮ Branes are waves and monopoles ⋮ Strings, branes and the self-dual solutions of exceptional field theory ⋮ A note on large gauge transformations in double field theory ⋮ Exceptional field theory: \(\mathrm{SO}(5,5)\) ⋮ \(E_{8}\) geometry ⋮ Generalized Cartan calculus in general dimension ⋮ On the exceptional generalised Lie derivative for \(d\geq 7\) ⋮ Exceptional geometry and Borcherds superalgebras ⋮ Twistors and supertwistors for exceptional field theory ⋮ The exceptional sigma model ⋮ Gauged double field theory ⋮ On the Riemann tensor in double field theory ⋮ A Kaluza–Klein Approach to Double and Exceptional Field Theory ⋮ Pre‐NQ Manifolds and Correspondence Spaces: the Nilmanifold Example ⋮ Higher Gauge Structures in Double and Exceptional Field Theory ⋮ Homogeneous Yang–Baxter deformations as generalized diffeomorphisms ⋮ Spheres, Generalised Parallelisability and Consistent Truncations ⋮ Symmetries of M-theory and free Lie superalgebras ⋮ Generalized gravity from modified DFT ⋮ Non-isometric U-dualities ⋮ A geometric formulation of exceptional field theory ⋮ Effective action for non-geometric fluxes duality covariant actions ⋮ Subsectors, Dynkin diagrams and new generalised geometries ⋮ Generalised U-dual solutions via ISO(7) gauged supergravity ⋮ Particle actions and brane tensions from double and exceptional geometry ⋮ Exotic branes in exceptional field theory: \(E_{7(7)}\) and beyond ⋮ Supersymmetry for gauged double field theory and generalised Scherk-Schwarz reductions ⋮ Adjoint orbits, generalised parallelisable spaces and consistent truncations ⋮ \(L_{\infty}\) algebras and tensor hierarchies in exceptional field theory and gauged supergravity ⋮ Classical Yang-Baxter equation from \(\beta\)-supergravity ⋮ Duality orbits of non‐geometric fluxes ⋮ Non‐geometric fluxes in supergravity and double field theory ⋮ Generalized parallelizable spaces from exceptional field theory ⋮ Exotic branes in string theory ⋮ Extended geometries ⋮ Consistent Kaluza-Klein truncations via exceptional field theory ⋮ Type IIB flux vacua from G-theory. I ⋮ Type IIB flux vacua from G-theory. II ⋮ Fermions and supersymmetry in \(E_{6(6)}\) exceptional field theory ⋮ Exotic branes and non-geometric fluxes ⋮ Geometry and fluxes of \(\mathrm{SL}(5)\) exceptional field theory ⋮ A unique connection for Born geometry ⋮ The local symmetries of M-theory and their formulation in generalised geometry ⋮ Geometry of \(\mathbb{R}^+ {\times} E_{3(3)}\) exceptional field theory and F-theory ⋮ Tri-vector deformations in \(d = 11\) supergravity ⋮ F-theory from fundamental five-branes ⋮ Exotic branes in exceptional field theory: the SL(5) duality group ⋮ F-theory superspace ⋮ The classical double copy for M-theory from a Kerr-Schild ansatz for exceptional field theory ⋮ Quadratic \(\alpha'\)-corrections to heterotic double field theory ⋮ Ramond-Ramond cohomology and O\((D,D)\) T-duality ⋮ Duality invariant M-theory: gauged supergravities and Scherk-Schwarz reductions ⋮ \(\mathrm{SL}(5)\) duality from canonical M2-brane ⋮ \(E_{11}\), generalised space-time and equations of motion in four dimensions ⋮ Weaving the exotic web ⋮ Exceptional geometry and tensor fields ⋮ Non-gravitational exceptional supermultiplets ⋮ Timelike U-dualities in generalised geometry ⋮ Currents, charges and algebras in exceptional generalised geometry ⋮ Super-Clifford gravity, higher spins, generalized supergeometry and much more ⋮ T-duality and non-geometric solutions from double geometry ⋮ E11 and exceptional field theory ⋮ The spacetime of double field theory: Review, remarks, and outlook ⋮ T-duality, Quotients and Currents for Non-Geometric Closed Strings ⋮ Fluxes in exceptional field theory and threebrane sigma-models ⋮ Non-Riemannian geometry of M-theory ⋮ Generalised U-dual solutions in supergravity ⋮ Generalised geometry, eleven dimensions and \(E_{11}\) ⋮ \(\mathcal{N} = {1}\) supersymmetric double field theory ⋮ Membrane duality revisited ⋮ The O_{D, D} geometry of string theory ⋮ New Gaugings and Non‐Geometry ⋮ On exceptional QP-manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(M\)-theory, exceptional generalised geometry and superpotentials
• Generalized geometry and M theory
• A class of Lorentzian Kac-Moody algebras
• A theory of the fundamental interactions
• Algebraic aspects of matrix theory on \(T^d\)
• \(E_{11}\), SL(32) and central charges
• M-theory and \(U\)-duality on \(T^d\) with gauge backgrounds
• Dualisation of dualities. II: Twisted self-duality of doubled fields and superdualities.
• Dualisation of dualities
• Massive IIA supergravity as a nonlinear realisation
• Dual fields and \(E_{11}\)
• Background independent action for double field theory
• Generalized metric formulation of double field theory
• The local symmetries of M-theory and their formulation in generalised geometry
• Nonlinear realizations of space-time symmetries. Scalar and tensor gravity
• Induced representation of locally compact groups. I
• E ₁₁ and M theory
• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>E</mml:mi><mml:mn>10</mml:mn></mml:msub></mml:math>and a Small Tension Expansion of M Theory
• The axial vector current in beta decay
• Very extended E ₈ and A ₈ at low levels, gravity and supergravity
• Cosmological billiards
• On Induced Representations of Groups
• 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: Duality invariant actions and generalised geometry