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Lax formulation for harmonic maps to a moduli of bundles
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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.
Forward citations
Cited by 3 Pith papers
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Time-Dependent Integrability from Gauge Theory, I
Spacetime-dependent 4d Chern-Simons theory generates time-dependent integrable field theories whose allowed time dependence coincides with one-loop RG flow while preserving Lax integrability.
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Twists of trigonometric sigma models
A new class of Z_N-twisted integrable sigma models is constructed from 4d Chern-Simons theory, and Z2 twisting by an outer automorphism of SU(n) produces models inequivalent to the untwisted ones.
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Torsors over moduli spaces of vector bundles over curves of fixed determinant
A T^*M-torsor of projective connections on stable bundles over a curve is identified, up to a constant, with the torsor of holomorphic connections on the theta line bundle over the moduli space.
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