Spin $ 2 $ spectrum for marginal deformations of 4d $ \mathcal{N}=2 $ SCFTs

TL;DR

This paper analyzes the spin 2 spectrum of massive gravitons in gamma-deformed backgrounds dual to marginally deformed 4d N=2 SCFTs, revealing continuous spectra due to symmetry breaking and discussing flavor brane effects.

Contribution

It provides analytical estimates of the spin 2 spectra in gamma-deformed T dual backgrounds, highlighting the impact of deformation on the spectrum and symmetry breaking.

Findings

Continuous spectra due to U(1) isometry breaking

Analytical estimates for Abelian and non-Abelian T dual cases

Comments on flavor branes and dual N=1 SCFTs

Abstract

We compute spin $ 2 $ spectrum associated with massive graviton fluctuations in $\gamma$-deformed Gaiotto-Maldacena background those are holographically dual to marginal deformations of $\mathcal{N}=2$ SCFTs in four dimensions. Under the special circumstances, we analytically estimate the spectra both for the $ \gamma $- 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 $ \gamma $- 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 $ \mathcal{N}=1 $ SCFTs.