The Coulomb and Higgs branches of N $$ mathcal{N} $$ = 1 theories of Class S k $$ {mathcal{S}}_k $$

The Coulomb and Higgs branches of N $$ mathcal{N} $$ = 1 theories of Class S k $$ {mathcal{S}}_k $$

Blog Article

Abstract Even though for generic N $$ mathcal{N} $$ = 1 theories it is not possible to separate distinct branches of supersymmetric vacua, in this paper we study a special class of N $$ mathcal{N} $$ = 1 SCFTs, these of Class S k $$ {mathcal{S}}_k $$ for which it is possible to define Coulomb and Higgs branches precisely as for the N $$ mathcal{N} $$ = 2 altitude sunscreen theories of Class S $$ mathcal{S} $$ from which they descend.We study the BPS operators that parameterise read more these branches of vacua using the different limits of the superconformal index as well as the Coulomb and Higgs branch Hilbert Series.Finally, with the tools we have developed, we provide a check that six dimensional (1, 1) Little String theory can be deconstructed from a toroidal quiver in Class S k $$ {mathcal{S}}_k $$.