Tensor hierarchy and generalized Cartan calculus in SL(3) × SL(2) exceptional field theory
Name
Hohm-2015-Tensor hierarchy and.pdf
Size
899.29 KB
Format
Adobe PDF
Checksum (MD5)
1374116381bae5f2468d5df99e37a3fa
Author(s)
Hohm, Olaf
Wang, Yinan
Date Issued
April 2015
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
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).
Version
Final published version
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 (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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/jhep04(2015)050
