Journal of High Energy Physics (Oct 2020)

S-duality wall of SQCD from Toda braiding

  • B. Le Floch

DOI
https://doi.org/10.1007/JHEP10(2020)152
Journal volume & issue
Vol. 2020, no. 10
pp. 1 – 41

Abstract

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Abstract Exact field theory dualities can be implemented by duality domain walls such that passing any operator through the interface maps it to the dual operator. This paper describes the S-duality wall of four-dimensional N $$ \mathcal{N} $$ = 2 SU(N) SQCD with 2N hypermultiplets in terms of fields on the defect, namely three-dimensional N $$ \mathcal{N} $$ = 2 SQCD with gauge group U(N − 1) and 2N flavours, with a monopole superpotential. The theory is self-dual under a duality found by Benini, Benvenuti and Pasquetti, in the same way that T[SU(N)] (the S-duality wall of N $$ \mathcal{N} $$ = 4 super Yang-Mills) is self-mirror. The domain-wall theory can also be realized as a limit of a USp(2N − 2) gauge theory; it reduces to known results for N = 2. The theory is found through the AGT correspondence by determining the braiding kernel of two semi-degenerate vertex operators in Toda CFT.

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