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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1016/S0370-2693(02)02345-6

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 ${\cal N} = 4$ 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 $\mu p^{+} \alpha^{'}$ . Using the Neumann matrices we are able to compute the cubic interactions of three string modes in a pp-wave background.

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