Instantons, fluxons, and open gauge string theory

Luca Griguolo, Domenico Seminara, Richard J. Szabo

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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. © 2005 International Press.

Original languageEnglish
Pages (from-to)775-860
Number of pages86
JournalAdvances in Theoretical and Mathematical Physics
Issue number5
Publication statusPublished - Oct 2005


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