Fluid/gravity correspondence: second order transport coefficients in compactified D4-branes

DOI10.1007/JHEP01(2017)118zbMATH Open1373.81341arXiv1604.07765OpenAlexW2411816220WikidataQ126279136 ScholiaQ126279136MaRDI QIDQ1678925

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Publication date: 7 November 2017

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Abstract: We develop the boundary derivative expansion (BDE) formalism of fluid/gravity correspondence to nonconformal version through the compactified, near-extremal black D4-brane. We offer an explicit calculation of 9 second order transport coefficients, i.e., the

a u_{p} i, a u_{p} i^{*}, a u_{P} i, l a m b d a_{1, 2, 3}

and

x i_{1, 2, 3}

for the strongly coupled, uncharged and nonconformal relativistic fluid which is the holographic dual of compactified, near extremal black D4-brane. We also show that the nonconformal fluid considered in this work is free of causal problem and admits the Haack-Yarom relation

4 l a m b d a_{1} + l a m b d a_{2} = 2 e t a a u_{p} i

.

Full work available at URL: https://arxiv.org/abs/1604.07765

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