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Then

O. Hohm and H. Samtleben, “Exceptional field theory. II. E 7(7)
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O. Hohm and H. Samtleben, “Exceptional Field Theory I: E 6 ( 6 ) E_{6(6)} covariant Form of M-Theory and Type IIB,” Phys.Rev
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2015

Exceptional field theory: $SL(5)$

Musaev, Edvard T.

Understand

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 $E_{8,7,6}, SO(5,5)$ and $SL(3)\times SL(2)$ duality groups.