Anisotropic plasma at finite $U(1)$ chemical potential

Abstract

We present a type IIB supergravity solution dual to a spatially anisotropic $\mathcal{N}=4$ super Yang-Mills plasma at finite $U(1)$ chemical potential and finite temperature. The effective five-dimensional gravitational theory is a consistent Einstein-Maxwell-dilaton-Axion truncation of the gauged supergravity. We obtain the solutions both numerically and analytically. We study the phase structure and thermodynamic instabilities of the solution, and find new instabilities independent of the renormalization scheme.

1+50 pages, 31 figures. typos corrected. published version. arXiv admin note: text overlap with arXiv:1106.1637 by other authors