On a modular property of N=2 superconformal theories in four dimensions
Shlomo S. Razamat
TL;DR
This paper explores the modular properties of the Schur index in four-dimensional N=2 superconformal theories, revealing how it transforms under SL(2,Z) and shedding light on its mathematical structure.
Contribution
It introduces the analysis of the Schur index's modular behavior in N=2 superconformal theories, a novel aspect not extensively studied before.
Findings
The Schur index exhibits specific modular transformation properties.
SL(2,Z) acts on the parameters of the index, revealing symmetry structures.
Insights into the mathematical structure of superconformal indices.
Abstract
In this note we discuss several properties of the Schur index of N=2 superconformal theories in four dimensions. In particular, we study modular properties of this index under SL(2,Z) transformations of its parameters.
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