The shortened KK spectrum of IIB supergravity on Y^{p,q}

Abstract

We examine the shortened KK spectrum of IIB supergravity compactified on Y^{p,q} and conjecture that the spectrum we have obtained is complete. The (untwisted) shortened spectrum on S^5/Z_{2p} and T^{1,1}/Z_p are obtained as special cases when p=q and q=0, respectively. Knowledge of the shortened spectrum allows us to compute the superconformal index of these theories and to find agreement with earlier calculations from the dual field theories. We also employ the shortened spectrum to perform a 1/N^2 test of AdS/CFT by holographically reproducing the difference of the central charges, c-a=p/8, of the dual CFTs.

20 pages; v2: comments added on the results of arXiv:1207.0573 for the superconformal index; v3: the presented shortened spectrum is emphasized to be conjectured, and not proved, to be complete

References in corpus (6)

• Type IIB supergravity on squashed Sasaki-Einstein manifolds
• On the Superconformal Index of N=1 IR Fixed Points: A Holographic Check
• 1/N^2 corrections to the holographic Weyl anomaly
• Index for Supergravity on AdS_5 \times T^{1,1} and Conifold Gauge Theory
• The spectrum of IIB supergravity on AdS_5 x S^5/Z_3 and a 1/N^2 test of AdS/CFT
• On the Scalar Spectrum of the Y^{p,q} Manifolds

Cited by in corpus (11)

• Constraints on Chiral Operators in N=2 SCFTs
• Corrections to AdS${}_5$ Black Hole Thermodynamics from Higher-Derivative Supergravity
• AdS${}_5$ Holography and Higher-Derivative Supergravity
• Higher Derivative Corrections and Central Charges from Wrapped M5-branes
• $c-a$ from the $N=1$ superconformal index
• Central charges from the $\mathcal{N}=1$ superconformal index
• Superconformal Symmetry in the Kaluza-Klein Spectrum of Warped AdS(3)
• One-loop supergravity on ${\mathrm{AdS}}_4\times S^7/{\mathbb{Z}}_k$ and comparison with ABJM theory
• One-Loop Holographic Weyl Anomaly in Six Dimensions
• On Exactly Marginal Deformations Dual to $B$-Field Moduli of IIB Theory on SE${}_5$
• Holographic spectral functions for Sasaki-Einstein 5-manifolds