On non-abelian U-duality of 11D backgrounds
arXiv:2007.01213 · doi:10.3390/universe8050276
Abstract
In this letter we generalised the procedure of non-abelian T-duality based on a B-shift and a sequence of formal abelian T-dualities in non-isometric directions to 11-dimensional backgrounds. This consists of a C-shift followed by either a formal U-duality transformation or taking a IIB section. We investigate restrictions and applicability of the procedure and find that it can provide supergravity solutions for the SL(5) exceptional Drinfeld algebra only when a spectator field is present, which is consistent with examples known in the literature.
arXiv comment20 pages, 7 figures. V2: added a discussion of restrictions and applicability of the suggested NAUD procedure
References in corpus (55)
- Generalized metric formulation of double field theory
- Superspace Duality in Low-Energy Superstrings
- Two-Vierbein Formalism for String-Inspired Axionic Gravity
- Background independent action for double field theory
- Nongeometric Flux Compactifications
- Duality Symmetries from Non--Abelian Isometries in String Theories
- Dual Non-Abelian Duality and the Drinfeld Double
- Generalized Geometry and M theory
- Poisson-Lie T-duality and Loop Groups of Drinfeld Doubles
- Exploring Double Field Theory
- Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations
- On non-abelian T-dual geometries with Ramond fluxes
- Duality Invariant M-theory: Gauged supergravities and Scherk-Schwarz reductions
- The local symmetries of M-theory and their formulation in generalised geometry
- Non-abelian T-duality, Ramond Fields and Coset Geometries
- Type IIB Supergravity Solutions with AdS From Abelian and Non-Abelian T Dualities
- Exceptional field theory:
- Non-Abelian Duality and Canonical Transformations
- Poisson-Lie T-Duality in Double Field Theory
- Exceptional field theory:
- Geometry and fluxes of SL(5) exceptional field theory
- Hints of 5d Fixed Point Theories from Non-Abelian T-duality
- Branes are Waves and Monopoles
- Poisson-Lie T-plurality
- Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings
- Double Field Theory on Group Manifolds
- Generalized Metric Formulation of Double Field Theory on Group Manifolds
- Generalized gravity from modified DFT
- Strings and Branes are Waves
- The Geometry, Branes and Applications of Exceptional Field Theory
- Classification of 6-dimensional real Drinfeld doubles
- Non-geometric branes are DFT monopoles
- U-duality extension of Drinfel'd double
- Poisson-Lie U-duality in Exceptional Field Theory
- E Exceptional Drinfel'd Algebras
- A new AdS_4/CFT_3 Dual with Extended SUSY and a Spectral Flow
- Type II DFT solutions from Poisson-Lie T-duality/plurality
- E Exceptional Field Theory: Review and Embedding of Type IIB
- Non-Abelian U-duality for membrane
- Tri-vector deformations in supergravity
- Five-brane actions in double field theory
- Marginal and non-commutative deformations via non-abelian T-duality
- On non-Abelian T-duality for non-semisimple groups
- Non-abelian tri-vector deformations in d=11 supergravity
- Exploring Exceptional Drinfeld Geometries
- Non-Abelian T-duality as a Transformation in Double Field Theory
- Non-abelian U-duality at work
- WZW models as mutual super Poisson-Lie T-dual sigma models
- Poisson-Lie plurals of Bianchi cosmologies and Generalized Supergravity Equations
- Global Double Field Theory is Higher Kaluza-Klein Theory
- Recent developments in non-Abelian T-duality in string theory
- The different faces of branes in Double Field Theory
- T-folds as Poisson-Lie plurals
- Double Field Theory on Group Manifolds (Thesis)
- Double Field Theory on Group Manifolds in a Nutshell