Tensor Hierarchy and Generalized Cartan Calculus in SL(3)SL(2) Exceptional Field Theory
arXiv:1501.01600 · doi:10.1007/JHEP04(2015)050
Abstract
We construct exceptional field theory for the duality group SL(3)SL(2). The theory is defined on a space with 8 `external' coordinates and 6 `internal' coordinates in the fundamental representation, leading to a 14-dimensional generalized spacetime. The bosonic theory is uniquely determined by gauge invariance under generalized external and internal diffeomorphisms. The latter invariance can be made manifest by introducing higher form gauge fields and a so-called tensor hierarchy, which we systematically develop to much higher degree than in previous studies. To this end we introduce a novel Cartan-like tensor calculus based on a covariant nil-potent differential, generalizing the exterior derivative of conventional differential geometry. The theory encodes the full or type IIB supergravity, respectively.
49 pages
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Cited by in corpus (9)
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- Half-maximal supersymmetry from exceptional field theory
- E Exceptional Field Theory: Geometry, Fermions and Supersymmetry
- A note on large gauge transformations in double field theory
- Locally non-geometric fluxes and missing momenta in M-theory
- Extended geometry of magical supergravities
- Duality Covariant Solutions in Extended Field Theories
- The many facets of exceptional field theory
- Exotic Aspects of Extended Field Theories