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

Abstract

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.

arXiv comment12 pages

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• Coupling a QFT to a TQFT and Duality
• Reading between the lines of four-dimensional gauge theories
• Phases of N=1 Supersymmetric Gauge Theories and Matrices
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Cited by in corpus (6)

• Vacuum structure of bifundamental gauge theories at finite topological angles
• Line Operators in the Standard Model
• Revisiting Wess-Zumino-Witten terms
• General anomaly matching by Goldstone bosons
• Phase structure of the twisted $SU(3)/U(1{)}^2$ flag sigma model on $\mathbb{R}\times S^1$
• Aspects of 5d Seiberg-Witten Theories on ${\mathbb{S}}^1$