L. Andrianopoli, R. D'Auria, P. A. Grassi, M. Trigiante
The recent developments in fluid/gravity correspondence give a new impulse to the study of fluid dynamics of supersymmetric theories. In that respect, the entropy current formalism requires some modifications in order to be adapted to supersymmetric theories and supergravities. We formulate a new entropy current in superspace with the properties 1) its Hodge dual is a d-form in d space-dimensions, 2) it is conserved off-shell for non dissipative fluids, 3) it is invariant under rigid supersymmetry transformations 4) it is covariantly closed in local supersymmetric theories 5) it reduces to its bosonic expression on space-time. We compute the entropy density and, in the meanwhile, we define the Hodge duality for supermanifolds.
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http://arxiv.org/abs/1304.2206
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