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The integrable harmonic map problem versus Ricci flow
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We construct a zero-curvature representation for a four-parameter family of non-linear sigma models with a Kalb-Ramond term. The one-loop renormalization is performed that gives rise to a new set of ancient and eternal solutions to the Ricci flow with torsion. Our analysis provides an explicit illustration of the role of the dilaton field for the renormalization of the non-linear sigma model.
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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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