Higher loops, integrability and the near BMN limit

Details Higher loops, integrability and the near BMN limit Higher loops, integrability and the near BMN limit

2003-08-11

arxiv.org/abs/hep-th/0308074v1

JHEP 0309:062,2003

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

10.1088/1126-6708/2003/09/062

In this note we consider higher-loop contributions to the planar dilatation operator of N=4 SYM in the su(2) subsector of two complex scalar fields. We investigate the constraints on the form of this object due to interactions of two excitations in the BMN limit. We then consider two scenarios to uniquely fix some higher-loop contributions: (i) Higher-loop integrability fixes the dilatation generator up to at least four-loops. Among other results, this allows to conjecture an all-loop expression for the energy in the near BMN limit. (ii) The near plane-wave limit of string theory and the BMN correspondence fix the dilatation generator up to three-loops. We comment on the difference between both scenarios.

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