Spin 2 spectrum for marginal deformations of 4d N=2 SCFTs

We compute spin 2 spectrum associated with massive graviton fluctuations in-y-deformed Gaiotto-Maldacena background those are holographically dual to marginal deformations of N = 2 SCFTs in four dimensions. Under the special circumstances, we analytically estimate the spectra both for the-y-deformed Abelian T dual (ATD) as well as the non-Abelian T dual (NATD) cases where we retain ourselves upto leading order in the deformation parameter. Our analysis reveals a continuous spectra which is associated with the breaking of the U(1) isometry (along the directions of the internal manifold) in the presence of the-y-deformation. We also comment on the effects of adding flavour branes into the picture and the nature of the associated spin 2 operators in the dual N = 1 SCFTs.

Automated summary

In this study, we compute the spin 2 spectrum associated with massive graviton fluctuations in a-y-deformed Gaiotto-Maldacena background. This spectrum is holographically dual to the marginal deformations of N = 2 SCFTs in four dimensions. By analytically estimating the spectra for both the-y-deformed Abelian T dual (ATD) and non-Abelian T dual (NATD) cases, we find a continuous spectra associated with the breaking of U(1) isometry in the presence of the-y deformation. We also discuss the effects of adding flavour branes and the nature of the associated spin 2 operators in the dual N = 1 SCFTs.