Lax formulation for harmonic maps to a moduli of bundles

Abstract

I define an algebraic metric and closed 3-form on a subspace $\mathcal{M}$ of the moduli of $G$-bundles on a complex projective curve $C$, and show that the resulting two-dimensional $\sigma$-model with target $\mathcal{M}$ has a zero-curvature formulation.

21 pages, 3 figures

References in corpus (2)

• Supersymmetric gauge theory and the Yangian
• Assembling integrable sigma-models as affine Gaudin models

Cited by in corpus (3)

• 4-dimensional Chern-Simons theory and integrable field theories
• Integrable Deformations from Twistor Space
• 3-dimensional mixed BF theory and Hitchin's integrable system