BMN Operators for N=1 Superconformal Yang-Mills Theories and Associated String Backgrounds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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47 pages, 1 figure, 1 table; v2 a few typos corrected; v3 added acknowledgements, a reference and improved discussion in secti

Scientific paper

10.1088/1126-6708/2003/06/015

We study a class of near-BPS operators for a complex 2-parameter family of N=1 superconformal Yang-Mills theories that can be obtained by a Leigh-Strassler deformation of N=4 SYM theory. We identify these operators in the large N and large R-charge limit and compute their exact scaling dimensions using N=1 superspace methods. From these scaling dimensions we attempt to reverse-engineer the light-cone worldsheet theory that describes string propagation on the Penrose limit of the dual geometry.

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