Spin-2 operators in two-dimensional $\mathcal{N}=(4,0)$ quivers from massive type IIA

TL;DR

This paper analyzes spin-2 fluctuations in a class of massive type IIA supergravity solutions with $ ext{AdS}_3$ backgrounds, identifying universal operators and computing stress-energy tensor correlators, advancing understanding of dual 2D SCFTs.

Contribution

It identifies a universal class of spin-2 operators in $ ext{AdS}_3$ solutions with $ ext{N}=(4,0)$ supersymmetry and computes their two-point functions, linking supergravity to dual field theories.

Findings

Universal spin-2 operators with $ ext{dim} = 2( ext{l}+1)$ identified.

Normalizations of stress-energy tensor two-point functions computed.

Results related to $ ext{AdS}_3$ and $ ext{AdS}_2$ solutions in massive IIA/IIB theories.

Abstract

In this work we revisit the problem of studying spin-2 fluctuations around a class of solutions in massive type IIA that is given by a warped $\text{AdS}_3 \times \text{S}^2 \times \text{T}^4 \times \mathcal{I}_{\rho}$ and with $\mathcal{N}=(4,0)$ supersymmetry. We were able to identify a class of fluctuations, which is known as the ``minimal universal class'' that is independent of the background data and saturates the bound on the mass related to the field theory unitarity bound. These operators have conformal dimension $\Delta = 2(\ell+1)$, with $\ell$ being the quantum number of the angular momentum on the $\text{S}^2$. We also computed the normalisation of the $2$-point function of stress-energy tensors from the effective $3$-dimensional graviton action. We comment on the relation of our results to the related $\text{AdS}_3$ and $\text{AdS}_2$ solutions in massive type IIA and type IIB theories respectively.