Entropy Current Formalism for Supersymmetric Theories
arXiv:1304.2206
Abstract
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) it is conserved off-shell for non dissipative fluids, 2) it is invariant under rigid supersymmetry transformations 3) it is covariantly closed in local supersymmetric theories 4) it reduces to its bosonic expression on space-time.
Definition of the entropy current improved and the main body of the paper rearranged; Discussion on Hodge duality in superspace removed and left to a forthcoming publication; Typos corrected
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