## Advances in Theoretical and Mathematical Physics

- Adv. Theor. Math. Phys.
- Volume 9, Number 5 (2005), 775-860.

### Instantons, fluxons, and open gauge string theory

Luca Griguolo, Domenico Seminara, and Richard J. Szabo

#### Abstract

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.

#### Article information

**Source**

Adv. Theor. Math. Phys., Volume 9, Number 5 (2005), 775-860.

**Dates**

First available in Project Euclid: 12 August 2009

**Permanent link to this document**

https://projecteuclid.org/euclid.atmp/1250092074

**Mathematical Reviews number (MathSciNet)**

MR2202292

**Zentralblatt MATH identifier**

1129.81084

#### Citation

Griguolo, Luca; Seminara, Domenico; Szabo, Richard J. Instantons, fluxons, and open gauge string theory. Adv. Theor. Math. Phys. 9 (2005), no. 5, 775--860. https://projecteuclid.org/euclid.atmp/1250092074