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Magnetic discrete gauge field in the confining vacua and the supersymmetric index

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arxiv 1412.2830 v1 pith:R7JAAHZ6 submitted 2014-12-09 hep-th

Magnetic discrete gauge field in the confining vacua and the supersymmetric index

classification hep-th
keywords supersymmetriccaseconfiningfieldgaugeindexinfraredmagnetic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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It has recently been argued that the confining vacua of Yang-Mills theory in the far infrared can have topological degrees of freedom given by magnetic $\mathbb{Z}_q$ gauge field, both in the non-supersymmetric case and in the N=1 supersymmetric case. In this short note we give another piece of evidence by computing and matching the supersymmetric index of the pure super Yang-Mills theory both in the ultraviolet and in the infrared.

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Cited by 1 Pith paper

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  1. Confinement as Decoding: Higher Form Codes and Lattice Yang-Mills Theory

    hep-th 2026-08 conditional novelty 6.0

    Decoding a higher-form quantum code with Wilson-line noise is the same computation as comparing center-twisted Yang-Mills partition functions; the paper works out this dictionary and its strong-coupling consequences.