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- W3048903371 abstract "We revisit the confinement/deconfinement transition in $mathcal{N}=4$ super Yang-Mills (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 $mathcal{N}=4$ 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 $mathcal{N}=4$ 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 $mathcal{N}=4$ SYM." @default.
- W3048903371 created "2020-08-18" @default.
- W3048903371 creator A5017865174 @default.
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- W3048903371 creator A5081503446 @default.
- W3048903371 date "2022-04-22" @default.
- W3048903371 modified "2023-10-14" @default.
- W3048903371 title "Delayed deconfinement and the Hawking-Page transition" @default.
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- W3048903371 doi "https://doi.org/10.1007/jhep04(2022)132" @default.
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