The String Theory Approach to Generalized 2D Yang-Mills Theory
High Energy Physics - Theory
2009-10-28 v2
Abstract
We calculate the partition function of the ( and ) generalized theory defined on an arbitrary Riemann surface. The result which is expressed as a sum over irreducible representations generalizes the Rusakov formula for ordinary YM_2 theory. A diagrammatic expansion of the formula enables us to derive a Gross-Taylor like stringy description of the model. A sum of 2D string maps is shown to reproduce the gauge theory results. Maps with branch points of degree higher than one, as well as ``microscopic surfaces'' play an important role in the sum. We discuss the underlying string theory.
Cite
@article{arxiv.hep-th/9407114,
title = {The String Theory Approach to Generalized 2D Yang-Mills Theory},
author = {O. Ganor and J. Sonnenschein and S. Yankielowicz},
journal= {arXiv preprint arXiv:hep-th/9407114},
year = {2009}
}
Comments
TAUP-2182-94, 53 pages of LaTeX and 5 uuencoded eps figures