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 $$ {mathcal{S}}_k $$

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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 sten jacket m possible to define Coulomb and Higgs branches precisely as for the N $$ mathcal{N} $$ = 2 theories of Class S $$ mathcal{S} $$ from which they descend.We study the BPS operators that blackmores ache relief focus review parameterise 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 $$ {mathcal{S}}_k $$.