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Infinite-Dimensional Gauge Structure of d=2 N=16 Supergravity

Louis Paulot
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Abstract

Dimensional reduction of maximal supergravity to two dimensions leads to an infinite-dimensional (non-local) symmetry group W x E_9 which has a simpler action when the bosonic fields are dualised to an infinite tower of dual potentials. We construct a doubled-valued representation of its compact subgroup K x K(E_9) and we show that off-shell fermions take place in this infinite-dimensional representation. The equations of motion can be written in a fully gauge-covariant way as a selfduality condition for the infinite-dimensional fields. The W x E_9 global symmetry is thus manifest. The linear system associated to the theory is recovered in a triangular gauge. Finally we provide supersymmetry transformations for off-shell fields.

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Louis Paulot. 2006-04-13. Infinite-Dimensional Gauge Structure of d=2 N=16 Supergravity. https://arxiv.org/abs/hep-th/0604098

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