Generalized Cartan Calculus in general dimension
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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.
DepartmentMassachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Physics
Journal of High Energy Physics
Wang, Yi-Nan. “Generalized Cartan Calculus in General Dimension.” J. High Energ. Phys. 2015, no. 7 (July 2015).
Final published version