Penrose Limit of AdS_4 x V_{5,2} and Operators with Large R Charge

Abstract

We consider M-theory on AdS_4 x V_{5,2} where V_{5,2}= SO(5)/SO(3) is a Stiefel manifold. We construct a Penrose limit of AdS_4 x V_{5,2} that provides the pp-wave geometry. There exists a subsector of three dimensional N=2 dual gauge theory, by taking both the conformal dimension and R charge large with the finiteness of their difference, which has enhanced N=8 maximal supersymmetry. We identify operators in the N=2 gauge theory with supergravity KK excitations in the pp-wave geometry and describe how the gauge theory operators made out of chiral field of conformal dimension 1/3 fall into N=8 supermultiplets.

13 pp, to appear in MPLA

References in corpus (3)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• PP Wave Limit and Enhanced Supersymmetry in Gauge Theories
• On Penrose Limits and Gauge Theories

Cited by in corpus (5)

• Holographic Supergravity Dual to Three Dimensional N=2 Gauge Theory
• Orbiting Membranes in M-theory on AdS_7 x S^4 Background
• The Gauge Dual of A Warped Product of AdS_4 and A Squashed and Stretched Seven-Manifold
• Non-perturbative Gauge-Higgs Unification: Symmetries and Order Parameters
• PP-waves from Nonlocal Theories