English

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

High Energy Physics - Theory 2009-11-11 v2 Mathematical Physics Classical Analysis and ODEs math.MP

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.

Keywords

Cite

@article{arxiv.hep-th/0509040,
  title  = {Matrix model eigenvalue integrals and twist fields in the su(2)-WZW model},
  author = {Matthias R. Gaberdiel and Albrecht O. Klemm and Ingo Runkel},
  journal= {arXiv preprint arXiv:hep-th/0509040},
  year   = {2009}
}

Comments

27 pages, 4 figures; v2: typos corrected, reference added, version to be published in JHEP