Abstract
We study spin-2 fluctuations around an infinite family of warped backgrounds of the form AdS2 × S2 × T4 × S1 × \( {\mathcal{I}}_{\rho } \) in the type IIB theory, which possesses \( \mathcal{N} \) = 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 × \( {\mathcal{I}}_{\rho } \) backgrounds.
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Acknowledgments
I have greatly benefited from discussions and suggestions with Carlos Nunez. I am grateful to Nick J. Evans, Jose Manuel Penin and Stefano Speziali for related conversations. I would, also, like to thank Yolanda Lozano, Oleg Lunin, Carlos Nunez and Christoph Uhlemann for reading this manuscript and offering valuable comments.
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Rigatos, K.C. Spin-2 operators in AdS2/CFT1. J. High Energ. Phys. 2023, 26 (2023). https://doi.org/10.1007/JHEP06(2023)026
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DOI: https://doi.org/10.1007/JHEP06(2023)026