Three point functions of N=4 Super Yang Mills from light cone string field theory in pp-wave

Abstract

In this paper we calculate three-string interaction from light cone string field theory in pp-wave. We find exact agreements with the free planar three point functions of non-chiral BMN operators of $\mathcal{N}=4$ super Yang Mills. The three string interaction vertex involving the Neumann matrices was derived in a recent paper hep-th/0204146. We explicitly calculate the bosonic Neumann matrices in the limit of large $\mu p^{+}{\alpha }^{{}^{\prime }}$ . Using the Neumann matrices we are able to compute the cubic interactions of three string modes in a pp-wave background.

9 pages, no figure. V2: typos corrected, some changes in introduction, a mistake in Section 2 and Appendix corrected. V3: more typos corrected and minor changes

References in corpus (7)

• Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
• A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings
• Operators with large R charge in N=4 Yang-Mills theory
• On solvable models of type IIB superstring in NS-NS and R-R plane wave backgrounds
• Superstring Interactions in a pp-wave Background
• PP Wave Limit and Enhanced Supersymmetry in Gauge Theories
• String Interactions in PP-Waves

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