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arxiv: 1305.6314 · v2 · submitted 2013-05-27 · ✦ hep-th

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1/16 BPS States in N=4 SYM

Chi-Ming Chang , Xi Yin
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classification ✦ hep-th
keywords conjectureoperatorscountingmulti-gravitonstatesads5ads5xs5agrees
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We investigate the problem of counting 1/16 BPS operators in N=4 Super-Yang-Mills theory at weak coupling. We present the complete set of 1/16 BPS operators in the infinite N limit, which agrees with the counting of free BPS multi-graviton states in the gravity dual AdS5xS5. Further, we conjecture that all 1/16 BPS operators in N=4 SYM are of the multi-graviton form, and give numerical evidences for this conjecture. We discuss the implication of our conjecture and the seeming failure in reproducing the entropy of large 1/16 BPS black holes in AdS5.

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