Two-dimensional Yang-Mills Theories Are String Theories
High Energy Physics - Theory
2010-11-01 v2 High Energy Physics - Phenomenology
Abstract
We show that two-dimensional SO(N) and Sp(N) Yang-Mills theories without fermions can be interpreted as closed string theories. The terms in the 1/N expansion of the partition function on an orientable or nonorientable manifold M can be associated with maps from a string worldsheet onto M. These maps are unbranched and branched covers of M with an arbitrary number of infinitesimal worldsheet cross-caps mapped to points in M. These string theories differ from SU(N) Yang-Mills string theory in that they involve odd powers of 1/N and require both orientable and nonorientable worldsheets.
Cite
@article{arxiv.hep-th/9305097,
title = {Two-dimensional Yang-Mills Theories Are String Theories},
author = {S. G. Naculich and H. A. Riggs and H. J. Schnitzer},
journal= {arXiv preprint arXiv:hep-th/9305097},
year = {2010}
}
Comments
(two references added; one old, one recent) 14pages, Latex, BRX-TH-346, JHU-TIPAC-930015