Matrix string states in pure 2d Yang Mills theories
arXiv:hep-th/9809095 · doi:10.1016/S0550-3213(98)00865-7
Abstract
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.
Latex file of 38 pages plus 6 eps figures. A note and few references added, figures improved
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Cited by in corpus (13)
- M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
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- Perturbative and non-perturbative aspects of the two-dimensional string/Yang-Mills correspondence
- Heterotic Matrix String Theory and Riemann Surfaces
- A String Theory for Two Dimensional Yang-Mills Theory I
- Matrix strings from generalized Yang-Mills theory on arbitrary Riemann surfaces
- DLCQ strings and branched covers of torii
- Branched Coverings and Interacting Matrix Strings in Two Dimensions
- Two-dimensional gauge theories of the symmetric group S(n) and branched n-coverings of Riemann surfaces in the large-n limit
- Vector Supersymmetry of 2D Yang-Mills Theory
- Generalized two-dimensional Yang-Mills theory is a matrix string theory
- String Duals of Two-Dimensional Yang-Mills and Symmetric Product Orbifolds
- A new large N phase transition in YM2