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- W4380136043 abstract "We study $mathcal{N}=4$ SYM at non-integer number of colours. By varying $N$ we can continuously follow states all the way from $N=infty$ where integrability reigns to finite $N$ where quantum gravity effects dominate. As an application we consider classically $1/16$ BPS states. Quantum mechanically, these states are generically non-supersymmetric but some special states - at special values of $N$ - become super-symmetric at the quantum level as well. They are the so-called quantum black hole states studied recently using cohomology. We write down the form of the lightest BH state at $N=2$ - and follow it in $N$, both at weak coupling and - more speculatively - at strong coupling as well. At weak coupling this state has protected dimension $Delta=19/2$ at $N=2$ and becomes a triple trace made out of Konishi and two light BPS operators at infinite $N$ with $Delta=19/2+12lambda+dots$. At strong coupling we suspect it becomes a quadruple trace with dimension $Delta simeq 19/2+text{integer}$." @default.
- W4380136043 created "2023-06-10" @default.
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- W4380136043 date "2023-06-07" @default.
- W4380136043 modified "2023-09-25" @default.
- W4380136043 title "Following Black Hole States" @default.
- W4380136043 doi "https://doi.org/10.48550/arxiv.2306.04693" @default.
- W4380136043 hasPublicationYear "2023" @default.
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