Second order transport coefficients of nonconformal relativistic fluids in various dimensions from dp-brane

DOI10.1007/JHEP01(2019)097zbMATH Open1447.81182arXiv1807.08268OpenAlexW3099388096WikidataQ128594656 ScholiaQ128594656MaRDI QIDQ667158

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Publication date: 12 March 2019

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Abstract: We derive all the dynamical second order transport coefficients for Dp-brane with $p$ from 1 to 6 within the framework of fluid/gravity correspondence in this paper. The D5 and D6-brane do not have dual relativistic fluids; D3-brane corresponds to 4-dimensional conformal relativistic fluid; D1, D2 and D4-brane separately correspond to nonconformal relativistic fluids of dimensions 2, 3 and 5. The Haack-Yarom relation only exists for Dp-branes with $p$ larger than 2 and is also satisfied by them. We also find that the Romatschke and Kleinert-Probst relations need to be generalized in order to be valid for relativistic fluids of dimensions other than 4.

Full work available at URL: https://arxiv.org/abs/1807.08268

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