Superconformal index, BPS monodromy and chiral algebras
Superconformal index, BPS monodromy and chiral algebras
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DOI：
10.1007/jhep11(2017)013
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发表时间：
2015-11
影响因子：
5.4
通讯作者：
S. Cecotti;Jaewon Song;C. Vafa;Wenbin Yan
中科院分区：
文献类型：
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作者：
S. Cecotti;Jaewon Song;C. Vafa;Wenbin Yan
我们证明，由整数 N 标记的 4d 超共形索引的特化由 Tr ℳ N 给出，其中 ℳ 是库仑分支上 BPS 状态的 Kontsevich-Soibelman 单峰算子。我们提供的证据表明，这些指数极限所列举的状态导致了二维手性代数族。这概括了 N=− 1 情况的最新结果，该情况对应于超共形指数的 Schur 极限。我们证明，指数的这种特殊化导致与 S 2× T 2 上的超共形理论的紧化椭圆属相同的被积函数，其中我们打开 S 2 上的 U (1) r 通量单位。
We show that specializations of the 4dsuperconformal index labeled by an integer N is given by Tr ℳ N where ℳ is the Kontsevich-Soibelman monodromy operator for BPS states on the Coulomb branch. We provide evidence that the states enumerated by these limits of the index lead to a family of 2d chiral algebras. This generalizes the recent results for the N=− 1 case which corresponds to the Schur limit of the superconformal index. We show that this specialization of the index leads to the same integrand as that of the elliptic genus of compactification of the superconformal theory on S 2× T 2 where we turn onunits of U (1) r flux on S 2.