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arXiv · 2301.12757

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

Sourav Roychowdhury·Dibakar Roychowdhury
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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.

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Sourav Roychowdhury, Dibakar Roychowdhury. 2023-01-30. Spin $ 2 $ spectrum for marginal deformations of 4d $ \mathcal{N}=2 $ SCFTs. https://doi.org/10.1007/jhep03(2023)083

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