Comment on Two Dimensional O(N) and Sp(N) Yang Mills Theories as String Theories

Abstract

We write down all orders large $N$ expansions for the dimensions of irreducible representations of $O(N)$ and $Sp(N)$. We interpret all the terms in these expansions as symmetry factors for singular worldsheet configurations, involving collapsed crosscaps and tubes. We use it to complete the interpretation of two dimensional Yang Mills Theories with these gauge groups, on arbitrary two dimensional manifolds, in terms of a String Theory of maps of the type considered by Gross and Taylor. We point out some intriguing similarities to the case of $U(N)$ and discuss their implications.

18 pages (minor corrections made)

References in corpus (3)

• Two Dimensional QCD is a String Theory
• Twists and Wilson Loops in the String Theory of Two Dimensional QCD
• Two-dimensional Yang-Mills Theories Are String Theories

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• Evaluation of the Free Energy of Two-Dimensional Yang-Mills Theory
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• Large-N Universality of the Two-Dimensional Yang-Mills String
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• Duality of O(N) and Sp(N) random tensor models: tensors with symmetries
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• The Master Field For 2D QCD On The Sphere
• Wilson loop expectations as sums over surfaces on the plane