Penrose Limit of AdS₄ x V₅,₂ and Operators with Large R Charge

الأصل · EN

We consider M-theory on AdS₄ x V₅,₂ where V₅,₂= SO(5)/SO(3) is a Stiefel manifold. We construct a Penrose limit of AdS₄ x V₅,₂ 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.