Exceptional field theory: SL(5)

Abstract

In this work the exceptional field theory formulation of supergravity with SL (5) gauge group is considered. This group appears as a U-duality group of D = 7 maximal supergravity. In the formalism presented the hidden global duality group is promoted into a gauge group of a theory in dimensions 7+number of extended directions. This work is a continuation of the series of works for E8,7,6, SO (5, 5) and SL (3) × SL (2) duality groups.