Discrete gauge theories of charge conjugation

Arias-Tamargo, Guillermo; Bourget, Antoine; Rodríguez-Gómez, Diego; Pini, Alessandro

doi:10.1016/j.nuclphysb.2019.114721

Report/Journal Article

PUBDB-2019-03248

Discrete gauge theories of charge conjugation

Arias-Tamargo, G. (Corresponding author) ; Bourget, A. ; Pini, A.DESY* ; Rodríguez-Gómez, D. (Corresponding author)

2019
North-Holland Publ. Co. Amsterdam

Nuclear physics 946, 114721 (2019) [10.1016/j.nuclphysb.2019.114721]

This record in other databases:

Please use a persistent id in citations: doi:10.1016/j.nuclphysb.2019.114721 doi:10.3204/PUBDB-2019-03248

Report No.: DESY-19-045; arXiv:1903.06662

Abstract: We define gauge theories whose gauge group includes charge conjugation as well as standard $\mathrm{SU}(N)$ transformations. When combined, these transformations form a novel type of group with a semidirect product structure. For $N$ even, we show that there are exactly two possible such groups which we dub $\widetilde{\mathrm{SU}}(N)_{\mathrm{I,II}}$. We construct the transformation rules for the fundamental and adjoint representations, allowing us to explicitly build four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories based on $\widetilde{\mathrm{SU}}(N)_{\mathrm{I,II}}$ and understand from first principles their global symmetry. We compute the Haar measure on the groups, which allows us to quantitatively study the operator content in protected sectors by means of the superconformal index. In particular, we find that both types of $\widetilde{\mathrm{SU}}(N)_{\mathrm{I,II}}$ groups lead to non-freely generated Coulomb branches.

Classification: