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 AdS₃ × S² × T⁴ × Iρ and with 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 Δ = 2(+1), with being the quantum number of the angular momentum on the S². 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 AdS₃ and AdS₂ solutions in massive type IIA and type IIB theories respectively.
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Shuo Zhang (2024) studied this question.
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