Instantons, Fluxons and Open Gauge String Theory

Abstract

We use the exact instanton expansion to illustrate various string characteristics of noncommutative gauge theory in two dimensions. We analyse the spectrum of the model and present some evidence in favour of Hagedorn and fractal behaviours. The decompactification limit of noncommutative torus instantons is shown to map in a very precise way, at both the classical and quantum level, onto fluxon solutions on the noncommutative plane. The weak-coupling singularities of the usual Gross-Taylor string partition function for QCD on the torus are studied in the instanton representation and its double scaling limit, appropriate for the mapping onto noncommutative gauge theory, is shown to be a generating function for the volumes of the principal moduli spaces of holomorphic differentials. The noncommutative deformation of this moduli space geometry is described and appropriate open string interpretations are proposed in terms of the fluxon expansion.

70 pages, 6 figures

References in corpus (6)

• Two Dimensional Yang-Mills, Black Holes and Topological Strings
• The Liouville Geometry of N=2 Instantons and the Moduli of Punctured Spheres
• Large N limit of 2D Yang-Mills Theory and Instanton Counting
• String Theoretical Interpretation for Finite N Yang-Mills Theory in Two-Dimensions
• Two-Dimensional Yang-Mills Theory and Moduli Spaces of Holomorphic Differentials
• A Noncommutative Deformation of Topological Field Theory

Cited by in corpus (1)

• Topological Strings, Two-Dimensional Yang-Mills Theory and Chern-Simons Theory on Torus Bundles