Non-invertible symmetries along 4d RG flows

Non-invertible symmetries along 4d RG flows

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Abstract We explore novel examples of RG flows preserving a non-invertible self-duality symmetry.Our main focus is on N $$ mathcal{N} $$ = 1 quadratic superpotential deformations of 4d N $$ mathcal{N} $$ = 4 super-Yang-Mills theory with gauge algebra su N $$ mathfrak{su}(N) $$.A theory that can be obtained Business Card Scanner in this way is the so-called N $$ mathcal{N} $$ = 1* SYM where all adjoint chiral multiplets have a mass.

Such IR theory exhibits a rich structure of vacua which we thoroughly examine.Our analysis elucidates the physics of spontaneous breaking of self-duality symmetry Skin Toner occurring in the degenerate gapped vacua.The construction can be generalized, taking as UV starting point a theory of class S $$ mathcal{S} $$ , to demonstrate how non-invertible self-duality symmetries exist in a variety of N $$ mathcal{N} $$ = 1 SCFTs.

We finally apply this understanding to prove that the conifold theory has a non-invertible self-duality symmetry.