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arXiv · hep-th/0206029

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

Changhyun Ahn
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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.

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Changhyun Ahn. 2002-10-17. Penrose Limit of AdS_4 x V_{5,2} and Operators with Large R Charge. https://doi.org/10.1142/s0217732302008654

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