Higher Genus BMN Correlators: Factorization and Recursion Relations

Details Higher Genus BMN Correlators: Factorization and Recursion Relations Higher Genus BMN Correlators: Factorization and Recursion Relations

2010-09-28

arxiv.org/abs/1009.5447v2

Physics

High Energy Physics

High Energy Physics - Theory

72 pages, 31 figures. v2: some references added

Scientific paper

We systematically study the factorization and recursion relations in higher genus correlation functions of BMN (Berenstein-Maldacena-Nastase) operators in free N=4 super Yang Mills theory. These properties were found in a previous paper by the author, and were conjectured to result from the correspondence with type IIB string theory on the infinitely curved pp-wave background, where the strings become effectively infinitely long. Here we push the calculations to higher genus, provide more clarifications and verifications of the factorization and recursion relations. Our calculations provide conjectural indirect tests of the AdS/CFT correspondence for multi-loop superstring amplitudes of stringy modes.

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