Matrix string states in pure 2d Yang Mills theories

Details Matrix string states in pure 2d Yang Mills theories Matrix string states in pure 2d Yang Mills theories

1998-09-14

arxiv.org/abs/hep-th/9809095v2

Nucl.Phys. B543 (1999) 141-169

Physics

High Energy Physics

High Energy Physics - Theory

Latex file of 38 pages plus 6 eps figures. A note and few references added, figures improved

Scientific paper

10.1016/S0550-3213(98)00865-7

We quantize pure 2d Yang-Mills theory on a torus in the gauge where the field strength is diagonal. Because of the topological obstructions to a global smooth diagonalization, we find string-like states in the spectrum similar to the ones introduced by various authors in Matrix string theory. We write explicitly the partition function, which generalizes the one already known in the literature, and we discuss the role of these states in preserving modular invariance. Some speculations are presented about the interpretation of 2d Yang-Mills theory as a Matrix string theory.

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