Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP04(2022)132
Keywords
AdS-CFT Correspondence; Matrix Models; Nonperturbative Effects; Super-symmetric Gauge Theory
Categories
Funding
- Simons Center for Geometry and Physics
- Spanish Research Agency through the grant IFT Centro de Excelencia Severo Ochoa [SEV-2016-059]
- La CaixaSevero Ochoa international predoctoral grant
- Simons Foundation [488657]
- BSF [2018204]
- SNSF [185723]
- [FPA2015-65480-P]
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We revisit the confinement/deconfinement transition in N = 4 super YangMills (SYM) theory and its relation to the Hawking-Page transition in gravity. We exhibit a phenomenon in complex matrix models called delayed deconfinement, which implies a first-order transition and shows remarkable agreement with the prediction of gravity.
We revisit the confinement/deconfinement transition in N = 4 super YangMills (SYM) theory and its relation to the Hawking-Page transition in gravity. Recently there has been substantial progress on counting the microstates of 1/16-BPS extremal black holes. However, there is presently a mismatch between the Hawking-Page transition and its avatar in N = 4 SYM. This led to speculations about the existence of new gravitational saddles that would resolve the mismatch. Here we exhibit a phenomenon in complex matrix models which we call delayed deconfinement. It turns out that when the action is complex, due to destructive interference, tachyonic modes do not necessarily condense. We demonstrate this phenomenon in ordinary integrals, a simple unitary matrix model, and finally in the context of N = 4 SYM. Delayed deconfinement implies a first-order transition, in contrast to the more familiar cases of higher-order transitions in unitary matrix models. We determine the deconfinement line and find remarkable agreement with the prediction of gravity. On the way, we derive some results about the Gross-Witten-Wadia model with complex couplings. Our techniques apply to a wide variety of (SUSY and non-SUSY) gauge theories though in this paper we only discuss the case of N = 4 SYM.
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