Modularity of the Schur index, modular differential equations, and high-temperature asymptotics
Yiwen Pan,
Peihe Yang
Abstract:In this paper we analytically explore the modularity of the flavored Schur index of 4d N=2 superconformal field theories. We focus on the A1 theories of class-S and N=4 theories with SU(N) gauge group. We work out the modular orbit of the flavored index and defect index, compute the dimension of the space spanned by the orbit, and provide complete basis for computing modular transformation matrices. The dimension obtained from the flavored analysis predicts the minimal order of the unflavored modular different… Show more
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