Perturbative and non-perturbative aspects of the two-dimensional string/Yang-Mills correspondence

Abstract

It is known that YM_2 with gauge group SU(N) is equivalent to a string theory with coupling g_s=1/N, order by order in the 1/N expansion. We show how this results can be obtained from the bosonization of the fermionic formulation of YM_2, improving on results in the literature, and we examine a number of non-perturbative aspects of this string/YM correspondence. We find contributions to the YM_2 partition function of order exp{-kA/(πα' g_s)} with k an integer and A the area of the target space, which would correspond, in the string interpretation, to D1-branes. Effects which could be interpreted as D0-branes are instead stricly absent, suggesting a non-perturbative structure typical of type 0B string theories. We discuss effects from the YM side that are interpreted in terms of the stringy exclusion principle of Maldacena and Strominger. We also find numerically an interesting phase structure, with a region where YM_2 is described by a perturbative string theory separated from a region where it is described by a topological string theory.

24 pages, 5 figures

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Cited by in corpus (9)

• Baby Universes in String Theory
• Nonperturbative Effects and the Large-Order Behavior of Matrix Models and Topological Strings
• On Exponential corrections to the 1/N expansion in two-dimensional Yang Mills theory
• Large N limit of 2D Yang-Mills Theory and Instanton Counting
• Resurgence analysis of 2d Yang-Mills theory on a torus
• Bosonization of non-relativistic fermions on a circle: Tomonaga's problem revisited
• String Theoretical Interpretation for Finite N Yang-Mills Theory in Two-Dimensions
• Two-Dimensional Yang-Mills Theory and Moduli Spaces of Holomorphic Differentials
• Improved matrix-model calculation of the N=2 prepotential