Generalized two-dimensional Yang-Mills theory is a matrix string theory
Abstract
We consider two-dimensional Yang-Mills theories on arbitrary Riemann surfaces. We introduce a generalized Yang-Mills action, which coincides with the ordinary one on flat surfaces but differs from it in its coupling to two-dimensional gravity. The quantization of this theory in the unitary gauge can be consistently performed taking into account all the topological sectors arising from the gauge-fixing procedure. The resulting theory is naturally interpreted as a Matrix String Theory, that is as a theory of covering maps from a two-dimensional world-sheet to the target Riemann surface.
Cite
@article{arxiv.hep-th/0001076,
title = {Generalized two-dimensional Yang-Mills theory is a matrix string theory},
author = {M. Billo' and M. Caselle and A. D'adda and P. Provero},
journal= {arXiv preprint arXiv:hep-th/0001076},
year = {2009}
}
Comments
LaTeX, 10 pages, uses espcrc2.sty. Presented by A. D'adda at the Third Meeting on Constrained Dynamics and Quantum Gravity, Villasimius (Sardinia, Italy) September 13-17, 1999; to appear in the proceedings