Complex structure-induced deformations of sigma-models

Abstract

We describe a deformation of the principal chiral model (with an even-dimensional target space G) by a B-field proportional to the Kähler form on the target space. The equations of motion of the deformed model admit a zero-curvature representation. As a simplest example, we consider the case of G=S^1 x S^3. We also apply a variant of the construction to a deformation of the AdS_3 x S^3 x S^1 (super-)sigma-model.

25 pages

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Cited by in corpus (11)

• Combining the bi-Yang-Baxter deformation, the Wess-Zumino term and TsT transformations in one integrable sigma-model
• Dressing cosets and multi-parametric integrable deformations
• Flag manifold sigma models: spin chains and integrable theories
• Brief lectures on duality, integrability and deformations
• Quantum flag manifold $\sigma$-models and Hermitian Ricci flow
• Flag manifold sigma-models: the 1/N-expansion and the anomaly two-form
• Strong integrability of the bi-YB-WZ model
• On strong integrability of the dressing cosets
• Integrable deformation of ${\mathbb{CP}}^n$ and generalised Kaehler geometry
• On some integrable deformations of the Wess-Zumino-Witten model
• On dual regime in Yang-Baxter deformed $\mathrm{O}(2N)$ sigma models