Open Access
October 2005 Instantons, fluxons, and open gauge string theory
Luca Griguolo, Domenico Seminara, Richard J. Szabo
Adv. Theor. Math. Phys. 9(5): 775-860 (October 2005).


We use the exact instanton expansion to illustrate various string characteristics of non-commutative 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 non-commutative torus instantons is shown to map in a very precise way, at both the classical and quantum levels, onto fluxon solutions on the non-commutative 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 non-commutative gauge theory, is shown to be a generating function for the volumes of the principal moduli spaces of holomorphic differentials. The non-commutative deformation of this moduli space geometry is described and appropriate open string interpretations are proposed in terms of the fluxon expansion.


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Luca Griguolo. Domenico Seminara. Richard J. Szabo. "Instantons, fluxons, and open gauge string theory." Adv. Theor. Math. Phys. 9 (5) 775 - 860, October 2005.


Published: October 2005
First available in Project Euclid: 12 August 2009

zbMATH: 1129.81084
MathSciNet: MR2202292

Rights: Copyright © 2005 International Press of Boston

Vol.9 • No. 5 • October 2005
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