Two-Loop Partition Function in the Planar Plane-Wave Matrix Model

Details Two-Loop Partition Function in the Planar Plane-Wave Matrix Model Two-Loop Partition Function in the Planar Plane-Wave Matrix Model

2004-09-17

arxiv.org/abs/hep-th/0409178v1

Phys.Lett. B603 (2004) 239-248

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, harvmac

Scientific paper

10.1016/j.physletb.2004.10.017

We perform two independent calculations of the two-loop partition function for the large N 't Hooft limit of the plane-wave matrix model, conjectured to be dual to the decoupled little string theory of a single spherical type IIA NS5-brane. The first is via a direct two-loop path-integral calculation in the matrix model, while the second employs the one-loop dilatation operator of four-dimensional N = 4 Yang-Mills theory truncated to the SU(2|4) subsector. We find precise agreement between the results of the two calculations. Various polynomials appearing in the result have rather special properties, possibly related to the large symmetry algebra of the theory or to integrability.

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