Supersymmetric Yang-Mills, spherical branes, and precision holography
Supersymmetric Yang-Mills, spherical branes, and precision holography
Using supersymmetric localization we compute the free energy and BPS Wilson loop vacuum expectation values for planar maximally supersymmetric Yang-Mills theory on Sd in the strong coupling limit for 2 ≤ d < 6. The same calculation can also be performed in supergravity using the recently found spherical brane solutions. We find excellent agreement between the two sets of results. This constitutes a non-trivial precision test of holography in a non-conformal setting. The free energy of maximal SYM on S6 diverges in the strong coupling limit which might signify the onset of little string theory. We show how this divergence can be regularized both in QFT and in supergravity. We also consider d = 7 with a small negative ’t Hooft coupling and show that the free energy and Wilson loop vacuum expectation value agree with the results from supergravity after addressing some subtleties.
Bobev, Nikolay
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Bomans, Pieter
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Gautason, Fridrik Freyr
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Minahan, Joseph A.
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Nedelin, Anton
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10 March 2020
Bobev, Nikolay
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Bomans, Pieter
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Gautason, Fridrik Freyr
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Minahan, Joseph A.
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Nedelin, Anton
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Bobev, Nikolay, Bomans, Pieter, Gautason, Fridrik Freyr, Minahan, Joseph A. and Nedelin, Anton
(2020)
Supersymmetric Yang-Mills, spherical branes, and precision holography.
JHEP, 2020, [47].
(doi:10.1007/JHEP03(2020)047).
Abstract
Using supersymmetric localization we compute the free energy and BPS Wilson loop vacuum expectation values for planar maximally supersymmetric Yang-Mills theory on Sd in the strong coupling limit for 2 ≤ d < 6. The same calculation can also be performed in supergravity using the recently found spherical brane solutions. We find excellent agreement between the two sets of results. This constitutes a non-trivial precision test of holography in a non-conformal setting. The free energy of maximal SYM on S6 diverges in the strong coupling limit which might signify the onset of little string theory. We show how this divergence can be regularized both in QFT and in supergravity. We also consider d = 7 with a small negative ’t Hooft coupling and show that the free energy and Wilson loop vacuum expectation value agree with the results from supergravity after addressing some subtleties.
Text
JHEP03(2020)047
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Accepted/In Press date: 12 February 2020
Published date: 10 March 2020
Identifiers
Local EPrints ID: 497073
URI: http://eprints.soton.ac.uk/id/eprint/497073
ISSN: 1126-6708
PURE UUID: 8c2156f4-8c20-470b-b5fd-98ac38e1fdbb
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Date deposited: 14 Jan 2025 15:49
Last modified: 22 Aug 2025 02:43
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Author:
Nikolay Bobev
Author:
Pieter Bomans
Author:
Fridrik Freyr Gautason
Author:
Joseph A. Minahan
Author:
Anton Nedelin
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