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Five-dimensional Nernst branes from special geometry

Dempster, P, Errington, D, Gutowski, Jan and Mohaupt, T (2016) Five-dimensional Nernst branes from special geometry Journal of High Energy Physics, 114.

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We construct Nernst brane solutions, that is black branes with zero entropy density in the extremal limit, of FI-gauged minimal ve-dimensional supergravity coupled to an arbitrary number of vector multiplets. While the scalars take speci c constant values and dynamically determine the value of the cosmological constant in terms of the FI-parameters, the metric takes the form of a boosted AdS Schwarzschild black brane. This metric can be brought to the Carter-Novotn y-Horsk y form that has previously been observed to occur in certain limits of boosted D3-branes. By dimensional reduction to four dimensions we recover the four-dimensional Nernst branes of arXiv:1501.07863 and show how the ve-dimensional lift resolves all their UV singularities. The dynamics of the compacti cation circle, which expands both in the UV and in the IR, plays a crucial role. At asymptotic in nity, the curvature singularity of the four-dimensional metric and the run-away behaviour of the four-dimensional scalar combine in such a way that the lifted solution becomes asymptotic to AdS5. Moreover, the existence of a nite chemical potential in four dimensions is related to fact that the compacti cation circle has a nite minimal value. While it is not clear immediately how to embed our solutions into string theory, we argue that the same type of dictionary as proposed for boosted D3-branes should apply, although with a lower amount of supersymmetry.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Dempster, P
Errington, D
Mohaupt, T
Date : 21 November 2016
DOI : 10.1007/JHEP11(2016)114
Copyright Disclaimer : Copyright 2016 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Uncontrolled Keywords : AdS-CFT Correspondence, Black Holes in String Theory, Gauge-gravity correspondence, Supergravity Models
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 21 Dec 2016 14:07
Last Modified : 16 Jan 2019 17:10

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