English

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

High Energy Physics - Theory 2021-01-01 v3

Abstract

We derive all the dynamical second order transport coefficients for Dp-brane with pp 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 pp 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.

Keywords

Cite

@article{arxiv.1807.08268,
  title  = {Second order transport coefficients of nonconformal relativistic fluids in various dimensions from Dp-brane},
  author = {Chao Wu},
  journal= {arXiv preprint arXiv:1807.08268},
  year   = {2021}
}

Comments

47 pages, 3 tables