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April 2012 Higher genus BMN correlators: factorization and recursion relations
Min–xin Huang
Adv. Theor. Math. Phys. 16(2): 421-503 (April 2012).


We systematically study the factorization and recursion relations in higher genus correlation functions of Berenstein–Maldacena–Nastase (BMN) operators in free $\mathcal{N} = 4$ 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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Min–xin Huang. "Higher genus BMN correlators: factorization and recursion relations." Adv. Theor. Math. Phys. 16 (2) 421 - 503, April 2012.


Published: April 2012
First available in Project Euclid: 23 January 2013

zbMATH: 1273.81183
MathSciNet: MR3019410

Rights: Copyright © 2012 International Press of Boston


Vol.16 • No. 2 • April 2012
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