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- W4288804532 abstract "The Schur index of a $4$ dimensional $mathcal{N}=2$ superconformal field theory counts (with sign) bosonic and fermionic states that preserve $4$ supercharges. We consider the Schur indices of $4$d $mathcal{N}=4$ super Yang-Mills and $mathcal{N}=2$ circular quiver gauge theories with gauge groups $U(N)$ or $SU(N)$. We calculate the exponentially dominant part of their asymptotic expansions as the index parameter $q$ approaches any root of unity. We find that some of the indices exhibit small ($O(N^0)$ as $N rightarrow infty$) exponential growth, which is much smaller than an $O(N^2)$ exponential growth of states that is indicative of a black hole. This implies that the indices do not capture a growth of states that would correspond to a supersymmetric black hole that preserves 4 supercharges in the holographic dual AdS theory. Interestingly, the exponentially dominant part in the Schur asymptotics we consider, depends on the parity of the rank $N$." @default.
- W4288804532 created "2022-07-30" @default.
- W4288804532 creator A5068378829 @default.
- W4288804532 date "2022-07-28" @default.
- W4288804532 modified "2023-10-16" @default.
- W4288804532 title "Root of unity asymptotics for Schur indices of 4d Lagrangian theories" @default.
- W4288804532 doi "https://doi.org/10.48550/arxiv.2207.14271" @default.
- W4288804532 hasPublicationYear "2022" @default.
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