Matrix model eigenvalue integrals and twist fields in the su(2)-WZW model

Gaberdiel, Matthias R.; Klemm, Albrecht; Runkel, Ingo

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Matrix model eigenvalue integrals and twist fields in the su(2)-WZW model

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Runkel, Ingo
AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Citation

Gaberdiel, M. R., Klemm, A., & Runkel, I. (2005). Matrix model eigenvalue integrals and twist fields in the su(2)-WZW model. Journal of High Energy Physics, 2005(10): 107. Retrieved from http://www.iop.org/EJ/abstract/1126-6708/2005/10/107.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4F64-2

Abstract

We propose a formula for the eigenvalue integral of the hermitian one matrix model with infinite well potential in terms of dressed twist fields of the su(2) level one WZW model. The expression holds for arbitrary matrix size n, and provides a suggestive interpretation for the monodromy properties of the matrix model correlators at finite n, as well as in the 1/n-expansion.