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Generalized Cartan Calculus in general dimension

Author(s)
Wang, Yinan
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Abstract
We develop the generalized Cartan Calculus for the groups G = SL(2,R) × R[superscript +],SL(5,R) and SO(5, 5). They are the underlying algebraic structures of d = 9, 7, 6 exceptional field theory, respectively. These algebraic identities are needed for the “tensor hierarchy” structure in exceptional field theory. The validity of Poincaré lemmas in this new differential geometry is also discussed. Finally we explore some possible extension of the generalized Cartan calculus beyond the exceptional series.
Date issued
2015-07
URI
http://hdl.handle.net/1721.1/98233
Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Physics
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Wang, Yi-Nan. “Generalized Cartan Calculus in General Dimension.” J. High Energ. Phys. 2015, no. 7 (July 2015).
Version: Final published version
ISSN
1029-8479
1126-6708

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