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• W3096852044 abstract "A bstract Even though for generic $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = 1 theories it is not possible to separate distinct branches of supersymmetric vacua, in this paper we study a special class of $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = 1 SCFTs, these of Class $$ {mathcal{S}}_k $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>S</mml:mi> <mml:mi>k</mml:mi> </mml:msub> </mml:math> for which it is possible to define Coulomb and Higgs branches precisely as for the $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = 2 theories of Class $$ mathcal{S} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>S</mml:mi> </mml:math> from which they descend. We study the BPS operators that 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 $$ {mathcal{S}}_k $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>S</mml:mi> <mml:mi>k</mml:mi> </mml:msub> </mml:math> ." @default.
• W3096852044 created "2020-11-09" @default.
• W3096852044 creator A5028530763 @default.
• W3096852044 creator A5052037083 @default.
• W3096852044 creator A5052712877 @default.
• W3096852044 date "2021-02-16" @default.
• W3096852044 modified "2023-09-26" @default.
• W3096852044 title "The Coulomb and Higgs branches of $$ mathcal{N} $$ = 1 theories of Class $$ {mathcal{S}}_k $$" @default.
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• W3096852044 doi "https://doi.org/10.1007/jhep02(2021)137" @default.
• W3096852044 hasPublicationYear "2021" @default.
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