Spin-2 excitations in Gaiotto-Maldacena solutions

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 $Ad{S}_5\times S^5$ 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.

arXiv comment23 pages + 3 appendices, 4 figures

References in corpus (22)

• The Large N Limit of Superconformal Field Theories and Supergravity
• N=2 dualities
• Bubbling AdS space and 1/2 BPS geometries
• On non-abelian T-dual geometries with Ramond fluxes
• Spin-2 spectrum of defect theories
• On Type IIA geometries dual to N = 2 SCFTs
• Localized intersections of M5-branes and four-dimensional superconformal field theories
• 4d N=2 superconformal linear quivers with type IIA duals
• Holographic Aspects of Four Dimensional $\mathcal{N}=2$ SCFTs and their Marginal Deformations
• On non-abelian T-duality and deformations of supercoset string sigma-models
• Integrability and non-Integrability in N=2 SCFTs and their Holographic Backgrounds
• Massive symmetric tensor field on AdS
• Massive spin 2 excitations in $Ad{S}_6\times S^2$ warped spacetimes
• Penrose limits of Abelian and non-Abelian T-duals of $Ad{S}_5\times S^5$ and their field theory duals
• Spin-2 spectrum of six-dimensional field theories
• On the spin-2 Kaluza-Klein spectrum of AdS4 x S2(B4)
• Perturbing AdS${}_6{\times }_w{S}^4$: linearised equations and spin-2 spectrum
• Spin 2 operators in holographic 4d $\mathcal{N}=2$ SCFTs
• Constraining integrable AdS/CFT with factorized scattering
• A Type IIB Matrix Model via non-Abelian T-dualities
• On supersymmetry and other properties of a class of marginally deformed backgrounds
• Gravity duals of N=2 SCFTs and asymptotic emergence of the electrostatic description

Cited by in corpus (4)

• Spin 2 fluctuations in 1/4 BPS AdS${}_3$/CFT${}_2$
• Spin $2$ spectrum for marginal deformations of 4d $\mathcal{N}=2$ SCFTs
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Holographic timelike entanglement and $c$ theorem for supersymmetric QFTs in ($0+1$)d