Massive spin 2 excitations in $Ad{S}_6\times S^2$ warped spacetimes

Abstract

We study (massive) spin-2 fluctuations around warped $Ad{S}_6$ solutions with $16$ supersymmetries in type IIB supergravity. We identify two classes of fluctuations which are universally present for all solutions of this form. The holographically dual operators have scaling dimensions $\Delta =5+3\ell$ and $\Delta =6+3\ell$, where the integer $\ell$ encodes the $R$-symmetry charge. They are identified as descendant states in respective BPS multiplets (the current multiplet for $\Delta =5$). We also compute the normalization of the energy-momentum tensor two-point function and show that it is related to the $S^5$ partition function of the dual $5d$ SCFTs.

16 pages, no figures, v2: minor edits, reference added, v3: minor corrections, version accepted by JHEP

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