Tensor hierarchy and generalized Cartan calculus in SL(3) × SL(2) exceptional field theory
Author(s)Hohm, Olaf; Wang, Yinan
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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 (3, 2) 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 D = 11 or type IIB supergravity, respectively.
DepartmentMassachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Physics; Massachusetts Institute of Technology. Laboratory for Nuclear Science
Journal of High Energy Physics
Hohm, Olaf, and Yi-Nan Wang. “Tensor Hierarchy and Generalized Cartan Calculus in SL(3) × SL(2) Exceptional Field Theory.” J. High Energ. Phys. 2015, no. 4 (April 2015).
Final published version