Penrose Limit of N=1 Gauge Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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26 pages, harvmac; references added, typos corrected; the charge assignment clarified; an error in section 4 corrected

Scientific paper

10.1016/S0550-3213(02)00396-6

We find a Penrose limit of AdS_5 x T^{1,1} which gives the pp-wave geometry identical to the one that appears in the Penrose limit of AdS_5 x S^5. This leads us to conjecture that there is a subsector of the corresponding N=1 gauge theory which has enhanced N=4 supersymmetry. We identify operators in the N=1 gauge theory with stringy excitations in the pp-wave geometry and discuss how the gauge theory operators fall into N=4 supersymmetry multiplets. We find similar enhancement of symmetry in some other models, but there are also examples in which there is no supersymmetry enhancement in the Penrose limit.

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