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

Abstract

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.

15 pages, harvmac

References in corpus (2)

• A Pendant for Polya: The One-Loop Partition Function of N=4 SYM on R x S^3
• Five-Brane Thermodynamics from the Matrix Model

Cited by in corpus (21)

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• The non-perturbative phase diagram of the BMN matrix model
• Exact fuzzy sphere thermodynamics in matrix quantum mechanics
• Thermal phase transition in Yang-Mills matrix model
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• Lattice studies of supersymmetric gauge theories
• More Pendants for Polya: Two loops in the SU(2) sector
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• Thermal phase structure of dimensionally reduced super-Yang--Mills
• Thermal phase structure of a supersymmetric matrix model
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• Nonperturbative test of the Maldacena-Milekhin conjecture for the BMN matrix model
• The AdS/CFT Correspondence: Classical, Quantum, and Thermodynamical Aspects
• Non-perturbative phase structure of the bosonic BMN matrix model
• Emergent Geometries from the BMN Matrix Model