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Discrete quotients of 3d N=4 Coulomb branches via the monopole formula

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If you have a question about this talk, please contact Dr. Carl Turner.

The monopole formula provides the Hilbert series of the Coulomb branch for a 3-dimensional N = 4 gauge theory. After a brief reminder of the set-up, I will discuss how the two geometric notions “fan” and “monoid” can be very fruitful for the understanding of the monopole formula. In particular, these concepts allow to prove properties of the Hilbert series for any gauge theory and to identify a sufficient set of chiral ring generators. In the second half, I discuss discrete quotients of 3d N=4 Coulomb branches and prove equalities of Hilbert series for a number of different cases. Among others, the results prove recent conjectures on Higgs branches of 6-dimensional N=(0,1) theories which are related by gauging of a discrete global symmetry.

This talk is part of the Quantum Fields and Strings Seminars series.

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