# Spin-2 excitations in Gaiotto-Maldacena solutions

## TL;DR

This paper analyzes spin-2 excitations in specific supergravity solutions, deriving their mass spectra analytically and numerically, and explores their implications in dual field theories.

## Contribution

It provides the first detailed mass spectrum analysis of spin-2 modes in Gaiotto-Maldacena solutions, including analytic formulas and numerical results for T-dual backgrounds.

## Key findings

- Analytic formulas for certain mass spectra
- Numerical spectra for complex modes
- Identification of a lower mass bound

## Abstract

In this paper we study spin-2 excitations for a class of $\mathcal{N} = 2$ supersymmetric solutions of type-IIA supergravity found by Gaiotto and Maldacena. The mass spectrum of these excitations can be derived by solving a second order partial differential equation. As specific examples of this class we consider the Abelian and non-Abelian T-dual versions of the $AdS_5 \times S^5$ and we study the corresponding mass spectra. For the modes that do not "feel" the (non-)Abelian T-duality transformation we provide analytic formulas for the masses, while for the rest we were only able to derive the spectra numerically. The numerical values that correspond to large masses are compared with WKB approximate formulas. We also find a lower bound for the masses. Finally, we study the field theoretical implications of our results and propose dual spin-2 operators.