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# (06.12.) 4d SCFTs via discrete gauging

### Alessandro Pini (Desy)

#### 06.12.2018 at 16:15

I will introduce the notion of discrete gauging in the context of 4d SCFTs and I will show how, using this procedure, we can obtain new SCFTs starting from 4d SCFTs mother theories. At the beginning of the talk I will review the mathematical tools that will be employed, that is to say the Superconformal index and the Higgs branch Hilbert series. I will then apply the discrete gauging in two different contexts. In the first case I will show how starting from N=4 SYM, and discretely gauging a Zn subgroup of the global symmetry group, we can obtain new N=4 or N=3 SCFTs (depending on the value of n ). I will give a prescription for how to perform the discrete gauging at the level of the Superconfomal index and Higgs branch Hilbert series. Finally I will give an overview of the results that we got in this context, in particular we will see that the Coulomb branches of the daughter theories generically are not-freely generated. Then I will focus on 4d SCFTs with N=2 supersymmetry. In this context the mother theory will be always provided by a theory with SU(N) gauge group and the daughter theory will be obtained gauging the automorphism group of the Dynkin diagram. I will then analyse the consequences of this gauging. We will see that the global symmetry of the Higgs branch is modified in a non-trivial way and that, also for this class of theories, the corresponding Coulomb branch is generically not-freely generated.

Arnold Sommerfeld Center

Theresienstrasse 37

Room 348