Abstract
The study of exactly marginal deformations of superconformal field theories is a topic that has received considerable attention due to their rich properties. We investigate the mathcal{N} = 2 preserving exactly marginal operators of 3d S-fold SCFTs. Two families of such theories are considered: one is constructed by gauging the diagonal flavour symmetry of the T(U(2)) and T(U(3)) theories, and the other by gauging the diagonal flavour symmetry of the {T}_{left[2,{1}^2right]}^{left[2,{1}^2right]}left( SU(4)right) theory. In both families, it is possible to turn on a Chern-Simons level for each gauge group and to couple to each theory various numbers of hypermultiplets. The detailed analysis of the exactly marginal operators, along with the superconformal indices, allows us to determine whether supersymmetry gets enhanced in the infrared and to deduce the amount of supersymmetry of the corresponding SCFT.
Highlights
Introduction and conclusionThe space generated by exactly marginal deformations, known as the conformal manifold, has been a long-standing subject of study in quantum field theories
The detailed analysis of the exactly marginal operators, along with the superconformal indices, allows us to determine whether supersymmetry gets enhanced in the infrared and to deduce the amount of supersymmetry of the corresponding superconformal field theories (SCFTs)
As demonstrated in [1,2,3], conformal manifolds of 4d N = 1 and 3d N = 2 SCFTs can be described by a symplectic quotient of the space of marginal couplings by the complexified continuous global symmetry group
Summary
Introduction and conclusionThe space generated by exactly marginal deformations, known as the conformal manifold, has been a long-standing subject of study in quantum field theories. Since the index of the S-fold theory can be computed independently using the formula that follows from localisation (see appendix A), the information of the N = 2 marginal operators leads to the precise information of the N = 3 extra SUSY-current and, the amount of (enhanced) supersymmetry of the corresponding SCFT.
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