Type IIB string theory on AdS_5 X T^{nn'}

Abstract

We study \kk spectrum of type IIB string theory compactified on $Ad{S}_5\times T^{n{n}^{\prime }}$ in the context of $AdS/CFT$ correspondence. We examine some of the modes of the complexified 2 form potential as an example and show that for the states at the bottom of the \kk tower the corresponding $d=4$ boundary field operators have rational conformal dimensions. The masses of some of the fermionic modes in the bottom of each tower as functions of the $R$ charge in the boundary conformal theory are also rational. Furthermore the modes in the bottom of the towers originating from $q$ forms on $T^{11}$ can be put in correspondence with the BRS cohomology classes of the $c=1$ non critical string theory with ghost number $q$. However, a more detailed investigation is called for, to clarify further the relation of this supergravity background with the $c=1$ strings.

Plain Tex, 12 pages, (v2) minor typos corrected, version to appear in PLB. (v3) Problem in the format of titlepage fixed

Cited by in corpus (15)

• Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories
• Superstrings and Topological Strings at Large N
• General matter coupled N=2, D=5 gauged supergravity
• Spectrum of Type IIB Supergravity on AdS_5 x T^{11}: Predictions on N = 1 SCFT's
• N=1 Supersymmetry, Deconstruction, and Bosonic Gauge Theories
• M Theory on the Stiefel manifold and 3d Conformal Field Theories
• Some interesting violations of the Breitenlohner-Freedman bound
• Index for Supergravity on AdS_5 \times T^{1,1} and Conifold Gauge Theory
• Bulk fields in AdS_5 from probe D7 branes
• Dangerous Angular KK/Glueball Relics in String Theory Cosmology
• Superconformal field theories from IIB spectroscopy on $Ad{S}_5\times T^{11}$
• 1/N corrections to anomalies and the AdS/CFT correspondence for orientifolded N=2 orbifold and N=1 conifold models
• Conifold Holography
• Extremal Black Attractors in 8D Maximal Supergravity
• On the Scalar Spectrum of the Y^{p,q} Manifolds