Journal article 1508 views
Instabilities of the small black hole: a view from N = 4 SYM
,
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...
| Published in: | Journal of High Energy Physics |
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| Published: |
2007
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa16150 |
| 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. |
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| College: |
Faculty of Science and Engineering |
| Issue: |
01 |
| Start Page: |
001 |
| End Page: |
001 |