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Supersymmetric Yang-Mills, spherical branes, and precision holography

Supersymmetric Yang-Mills, spherical branes, and precision holography

Title: Supersymmetric Yang-Mills, spherical branes, and precision holography
Author: Bobev, Nikolay
Bomans, Pieter
Gautason, Friðrik Freyr
Minahan, Joseph A.
Nedelin, Anton
Date: 2020-03-01
Language: English
Scope: 47
University/Institute: Háskóli Íslands
University of Iceland
School: Verkfræði- og náttúruvísindasvið (HÍ)
School of Engineering and Natural Sciences (UI)
Department: Raunvísindastofnun (HÍ)
Science Institute (UI)
Series: Journal of High Energy Physics;2020(3)
ISSN: 1029-8479
DOI: 10.1007/JHEP03(2020)047
Subject: AdS-CFT Correspondence; D-branes; Supersymmetric Gauge Theory; Atómfræði; Skammtafræði
URI: https://hdl.handle.net/20.500.11815/2414

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Bobev, N., Bomans, P., Gautason, F.F. et al. Supersymmetric Yang-Mills, spherical branes, and precision holography. Journal of High Energy Physics 2020, 47 (2020). https://doi.org/10.1007/JHEP03(2020)047


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.


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