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Instabilities of the small black hole: a view from N = 4 SYM / Timothy Hollowood; Prem Kumar; Asad Naqvi

Journal of High Energy Physics, Volume: 2007, Issue: 01, Pages: 001 - 001

Swansea University Authors: Timothy, Hollowood, Prem, Kumar

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DOI (Published version): 10.1088/1126-6708/2007/01/001

Abstract

We compute a one-loop effective action for the constant modes of the scalars and the Polyakov loop matrix of N = 4 SYM on S3 at finite temperature and weak ’t Hooft coupling. Above a critical temperature, the effective potential develops new unstable directions accompanied by new saddle points which...

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Published in: Journal of High Energy Physics
Published: 2007
URI: https://cronfa.swan.ac.uk/Record/cronfa16150
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Abstract: We compute a one-loop effective action for the constant modes of the scalars and the Polyakov loop matrix of N = 4 SYM on S3 at finite temperature and weak ’t Hooft coupling. Above a critical temperature, the effective potential develops new unstable directions accompanied by new saddle points which only preserve an SO(5) subgroup of the SO(6) global R-symmetry. We identify this phenomenon as the weak coupling version of the well known Gregory-Laflamme localization instabil- ity in the gravity dual of the strongly coupled field theory: The small AdS5 black hole when viewed as a ten dimensional, asymptotically AdS5 ×S5 solution smeared on the S5 is unstable to localization on S5. Our effective potential, in a specific Lorentzian continuation, can provide a qualitative holographic description of the decay of the “topological black hole” into the AdS bubble of nothing.
College: College of Science
Issue: 01
Start Page: 001
End Page: 001