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

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.

26 pages, 4 figures, 1 table