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.
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Univ Cincinnati, Phys Dept, POB 210011, Cincinnati, OH 45221 USA
CALTECH, Walter Burke Inst Theoret Phys, Pasadena, CA 91125 USAUniv Cincinnati, Phys Dept, POB 210011, Cincinnati, OH 45221 USA
Argyres, Philip C.
Martone, Mario
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Univ Texas Austin, Phys Dept, Austin, TX 78712 USAUniv Cincinnati, Phys Dept, POB 210011, Cincinnati, OH 45221 USA
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Univ Oxford, Math Inst, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, EnglandUniv Oxford, Math Inst, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, England