Nernst branes from special geometry

Dempster, P, Errington, D and Mohaupt, T ORCID: 0000-0002-6864-4086 (2015) Nernst branes from special geometry. JOURNAL OF HIGH ENERGY PHYSICS, 2015 (5). 79-.

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Abstract

We construct new black brane solutions in $U(1)$ gauged ${\cal N}=2$ supergravity with a general cubic prepotential, which have entropy density $s\sim T^{1/3}$ as $T \rightarrow 0$ and thus satisfy the Nernst Law. By using the real formulation of special geometry, we are able to obtain analytical solutions in closed form as functions of two parameters, the temperature $T$ and the chemical potential $\mu$. Our solutions interpolate between hyperscaling violating Lifshitz geometries with $(z,\theta)=(0,2)$ at the horizon and $(z,\theta)=(1,-1)$ at infinity. In the zero temperature limit, where the entropy density goes to zero, we recover the extremal Nernst branes of Barisch et al, and the parameters of the near horizon geometry change to $(z,\theta)=(3,1)$.

Item Type:	Article
Additional Information:	37 pages. v2: numerical pre-factors of scalar fields q_A corrected in Section 3. No changes to conclusions. References added
Uncontrolled Keywords:	Black Holes in String Theory, Black Holes, Supergravity Models, Holography and condensed matter physics (AdS/CMT)
Subjects:	?? QA ?? ?? QC ??
Depositing User:	Symplectic Admin
Date Deposited:	25 Nov 2015 15:17
Last Modified:	15 Mar 2024 06:16
DOI:	10.1007/JHEP05(2015)079
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/2039142