Extended geometry of magical supergravities
arXiv:2301.10974 · doi:10.1007/JHEP05(2023)162
Abstract
We provide, through the framework of extended geometry, a geometrisation of the duality symmetries appearing in magical supergravities. A new ingredient is the general formulation of extended geometry with structure group of non-split real form. A simple diagrammatic rule for solving the section constraint by inspection of the Satake diagram is derived.
arXiv comment25 pp
References in corpus (39)
- Generalised Geometry for M-Theory
- Generalized Geometry and M theory
- Exceptional Form of D=11 Supergravity
- M-theory, exceptional generalised geometry and superpotentials
- Exceptional Field Theory I: covariant Form of M-Theory and Type IIB
- The gauge structure of generalised diffeomorphisms
- Exceptional Field Theory III: E
- Exceptional Field Theory II: E
- SO(5,5) duality in M-theory and generalized geometry
- Gauged Supergravities, Tensor Hierarchies, and M-Theory
- Extended geometry and gauged maximal supergravity
- Spacelike Singularities and Hidden Symmetries of Gravity
- Exceptional field theory:
- M-theory and Type IIB from a Duality Manifest Action
- Exceptional field theory:
- Tensor Hierarchy and Generalized Cartan Calculus in SL(3)SL(2) Exceptional Field Theory
- An Action for F-theory: Exceptional Field Theory
- The group theory of oxidation II: Cosets of non-split groups
- Generalised Scherk-Schwarz reductions from gauged supergravity
- The tensor hierarchy algebra
- Generalised diffeomorphisms for E
- Beyond E11
- Extended geometries
- E exceptional field theory I. The potential
- A master exceptional field theory
- On supersymmetric E11 exceptional field theory
- E exceptional field theory II. The complete dynamics
- On the Magical Supergravities in Six Dimensions
- Double supergeometry
- Exceptional geometry and Borcherds superalgebras
- Absence of U(1) Anomalous Superamplitudes in Supergravities
- Tensor hierarchy algebras and extended geometry II: Gauge structure and dynamics
- algebras for extended geometry from Borcherds superalgebras
- E Exceptional Field Theory in Superspace
- Tensor hierarchy algebras and extended geometry I: Construction of the algebra
- Tensor hierarchy algebra extensions of over-extended Kac--Moody algebras
- Generators and relations for Lie superalgebras of Cartan type
- Real forms of extended Kac-Moody symmetries and higher spin gauge theories
- Teleparallelism in the algebraic approach to extended geometry