Supergravity on $Ad{S}_{4/7}\times S^{7/4}$ and M Branes

Abstract

We calculate the dimensions of operators in three and six dimensional superconformal field theories by using the duality between these theories at large N and D=11 supergravity on $Ad{S}_{4/7}\times S^{7/4}$. We find that for the duality relations to work the Kaluza--Klein masses given in the supergravity literature must be rescaled and/or shifted.

10 pages on phyzzx.tex, typo (in eq. (20)) and TeX corrections, some Comments added

Cited by in corpus (24)

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• Impure AdS/CFT
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• Janus solutions in M-theory
• Correlation Functions of Operators and Wilson Surfaces in the d=6, (0,2) Theory in the Large N Limit
• Three-point correlators of stress tensors in maximally-supersymmetric conformal theories in d=3 and d=6
• M-Theory and Stringy Corrections to Anti-de Sitter Black Holes and Conformal Field Theories
• Consistency conditions and trace anomalies in six dimensions
• Holographic Charge Density Waves
• Holography and Quaternionic Taub-NUT
• Operator Product Expansion of Wilson surfaces from M5-branes
• Aspects of the D=6, (2,0) Tensor Multiplet
• Supercoherent States of OSp(8*|2N), Conformal Superfields and the AdS_7/CFT_6 Duality
• Conformal superfields and BPS states in AdS_4/7 geometries
• Spectrum of Chiral Operators in Strongly Coupled Gauge Theories
• New Instantons in AdS_4/CFT_3 from D4-Branes Wrapping Some of CP^3
• Bosonic Quadratic Actions for 11D Supergravity on AdS_7/4 x S_4/7
• SO(2N) (0,2) SCFT and M Theory on $Ad{S}_7\times {RP}^4$
• N=8 SCFT and M Theory on AdS_4 x RP^7
• Marginal Fluctuations as Instantons on M2/D2-Branes
• The Large N Limit of $\mathcal{N}=1$ Field Theories from F Theory
• Higgs-like (pseudo)Scalars in AdS${}_4$, Marginal and Irrelevant Deformations in CFT_3 and Instantons on S^3