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Superconducting instabilities of R-charged black branes

Superconducting instabilities of R-charged black branes
Superconducting instabilities of R-charged black branes
We explore superconducting instabilities of black branes in SO(6) gauged supergravity at finite temperature and finite R-charge densities. We compute the critical temperatures for homogeneous neutral and superconducting instabilities in a truncation of 20 scalars and 15 gauge fields as a function of the chemical potentials conjugate to the three U(1) charges in SO(6). We find that despite the imbalance provided by multiple chemical potentials there is always at least one superconducting black brane branch, emerging at a temperature where the normal phase is locally thermodynamically stable. We emphasise that the three-equal charge solution, Reissner-Nordstrom, is subdominant to a thermodynamically unstable black brane at sufficiently low temperatures --- a feature which is hidden in an equal charge truncation.
hep-th
1029-8479
Gentle, Simon A.
414033f1-7dc0-4406-b273-cf02ca8877f6
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Gentle, Simon A.
414033f1-7dc0-4406-b273-cf02ca8877f6
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9

Gentle, Simon A. and Withers, Benjamin (2012) Superconducting instabilities of R-charged black branes. Journal of High Energy Physics. (doi:10.1007/JHEP10(2012)006).

Record type: Article

Abstract

We explore superconducting instabilities of black branes in SO(6) gauged supergravity at finite temperature and finite R-charge densities. We compute the critical temperatures for homogeneous neutral and superconducting instabilities in a truncation of 20 scalars and 15 gauge fields as a function of the chemical potentials conjugate to the three U(1) charges in SO(6). We find that despite the imbalance provided by multiple chemical potentials there is always at least one superconducting black brane branch, emerging at a temperature where the normal phase is locally thermodynamically stable. We emphasise that the three-equal charge solution, Reissner-Nordstrom, is subdominant to a thermodynamically unstable black brane at sufficiently low temperatures --- a feature which is hidden in an equal charge truncation.

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1207.3086v1
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Published date: 12 July 2012
Additional Information: 23 pages, 6 figures
Keywords: hep-th

Identifiers

Local EPrints ID: 455076
URI: http://eprints.soton.ac.uk/id/eprint/455076
ISSN: 1029-8479
PURE UUID: 2bd623f2-ca35-48e1-8321-b95d3e5a3370
ORCID for Benjamin Withers: ORCID iD orcid.org/0000-0001-8490-9948

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Date deposited: 08 Mar 2022 17:41
Last modified: 17 Mar 2024 02:27

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Author: Simon A. Gentle

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