论文标题

SUSY索引超出了Cardy限制

The SUSY Index Beyond the Cardy Limit

论文作者

Mamroud, Ohad

论文摘要

我们使用Bethe Ansatz方法分析了4D $ \ MATHCAL {n} = 4 $ $ $ SU(N)$ SUPER YANG-MILLS的一组贡献。这些贡献在$ n $限制的大限制中占主导地位,在$ n $中,其领先订单在双重理论中重现了各种超对称的欧几里得黑洞鞍座,并且它们在高温类cardy的限制中也占主导地位。我们计算$ o(n^0)$项,包括在CARDY限制中被指数抑制的$(并表明除它们以外的$ 1/N $校正)。在某些假设下,这意味着围绕这些黑洞马鞍的重力扰动系列是1循环的。

We analyze a set of contributions to the superconformal index of 4d $\mathcal{N} = 4$ $SU(N)$ super Yang-Mills using the Bethe Ansatz approach. These contributions dominate at the large $N$ limit, where their leading order in $N$ reproduces various supersymmetric Euclidean black hole saddles in the dual theory, and they also dominate for finite $N$ in high temperature Cardy-like limits. We compute the $O(N^0)$ terms, including those exponentially suppressed in the Cardy limit, and show that there are no $1/N$ corrections beyond them. Under certain assumptions, it implies that the gravitational perturbative series around these black hole saddles is 1-loop exact.

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