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arXiv · 2312.03610

O$(D,D)$-covariant formulation of perfect and imperfect fluids in the double geometry

Eric Lescano·Nahuel Mirón-Granese·Yuho Sakatani
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Abstract

We study generic matter coupled to a $D$-dimensional supergravity using a formulation of Double Field Theory (DFT), where all the fields are encoded in O$(D,D)$ multiplets. We study both the case when the matter comes from a variational principle, as well as the case where the matter comes from a statistical or thermodynamic approach. For the latter, we construct the distribution function for the perfect fluid and its entropy current, which is a conserved quantity. We then include general viscous and elastic terms in the generalized energy-momentum tensor which, in the general case, lead to entropy production. We consistently deform the conservation law of the generalized entropy current and identify a particular non-dissipative deformation. Using the generalized fluid model, we revisit the issue of non-covariance of perfect fluids under T-dualities and we show how to resolve it in our DFT model with matter.

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Eric Lescano, Nahuel Mirón-Granese, Yuho Sakatani. 2023-12-06. O$(D,D)$-covariant formulation of perfect and imperfect fluids in the double geometry. https://arxiv.org/abs/2312.03610

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