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arXiv · 1804.00680

A freely generated ring for N=1 models in class S_k

Shlomo S. Razamat·Evyatar Sabag
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Abstract

We study 4d N=1 supersymmetric theories of class S_k, obtained from flux compactifications on a Riemann surface of 6d (1,0) conformal theories describing the low energy physics on a stack of M5 branes probing a Z_k singularity. We conjecture that the protected spectrum of class S_k theories contains a freely generated ring, generalizing the Coulomb branch of the N=2 theories. We derive this by examining a limit of the supersymmetric index of 4d N=1 class S_k theories. The limit generalizes the Coulomb limit of N=2 theories, which coincides with the case of k=1 for a particular choice of flux. We conjecture a general simple formula for the index in the aforementioned limit.

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Shlomo S. Razamat, Evyatar Sabag. 2018-04-02. A freely generated ring for N=1 models in class S_k. https://doi.org/10.1007/jhep07(2018)150

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