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DOE OSTI · 1499180

Coulomb branches with complex singularities

Argyres, Philip C.·Martone, Mario
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Abstract

We construct 4d superconformal field theories (SCFTs) whose Coulomb branches have singular complex structures. This implies, in particular, that their Coulomb branch coordinate rings are not freely generated. Our construction also gives examples of distinct SCFTs which have identical moduli space (Coulomb, Higgs, and mixed branch) geometries. These SCFTs thus provide an interesting arena in which to test the relationship between moduli space geometries and conformal field theory data. Here we construct these SCFTs by gauging certain discrete global symmetries of N = 4 superYang-Mills (sYM) theories. In the simplest cases, these discrete symmetries are outer automorphisms of the sYM gauge group, and so these theories have lagrangian descriptions as N = 4 sYM theories with disconnected gauge groups.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSDifferential and Algebraic GeometryDiscrete SymmetriesExtended SupersymmetrySupersymmetric Gauge Theory

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Argyres, Philip C., Martone, Mario. 2018-06-08. Coulomb branches with complex singularities. https://doi.org/10.1007/jhep06(2018)045

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