Spin-2 operators in AdS2/CFT1

Abstract

Abstract We study spin-2 fluctuations around an infinite family of warped backgrounds of the form AdS2 × S2 × T4 × S1 × $$ {\mathcal{I}}_{\rho } $$ I ρ in the type IIB theory, which possesses $$ \mathcal{N} $$ N = 4 supersymmetry. We find that there exists a special set of solutions which is independent of the background data; the minimal universal class. This particular class of solutions corresponds to operators with scaling dimension ∆ = ℓ + 1, with ℓ being the quantum number of the angular-momentum on the S2. Using the mode solutions of these spin-2 states, we compute the central charge of the dual field theories. We comment on the relation of our results to the seed AdS3× S2× T4×$$ {\mathcal{I}}_{\rho } $$ I ρ backgrounds.