Twist Points as Branch Points for the QCD${}_2$ String

Abstract

We show that the string representation of the QCD${}_2$ partition function satisfies, by virtue of a Young-tableau-transposition symmetry, the topological constraint that any branched covering of an orientable or nonorientable surface without boundary must have an {\em even} branch point multiplicity. This statement holds for each chiral sector and requires multiple branch point behavior for the twist points, since cross-terms appear that couple twist points with odd powers of simple branch points. We obtain the same result for the complete partition function of $\son$ and $\spn$ Yang-Mills${}_2$ theory.

8 pages, BRX-TH-352, JHU-TIPAC-930024, BOW-PH-101

References in corpus (5)

• Two Dimensional QCD is a String Theory
• Two Dimensional QCD as a String Theory
• Twists and Wilson Loops in the String Theory of Two Dimensional QCD
• Summing Over Inequivalent Maps in the String Theory Interpretation of Two Dimensional QCD
• Two-dimensional Yang-Mills Theories Are String Theories

Cited by in corpus (6)

• Evaluation of the Free Energy of Two-Dimensional Yang-Mills Theory
• Folds in 2D String Theories
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• Large-N Universality of the Two-Dimensional Yang-Mills String
• Topology Change and theta-Vacua in 2D Yang-Mills Theory
• The Master Field For 2D QCD On The Sphere