A heterotic integrable deformation of the principal chiral model

David Osten

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arXiv · 2312.10149

A heterotic integrable deformation of the principal chiral model

David Osten

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Abstract

A novel classically integrable model is proposed. It is a deformation of the two-dimensional principal chiral model, embedded into a heterotic $\sigma$-model, by a particular heterotic gauge field. This is inspired by the bosonic part of the heterotic $\sigma$-model and its recent Hamiltonian formulation in terms of O$(d,d+n)$-generalised geometry by Hatsuda, Mori, Sasaki and Yata. Classical integrability is shown by construction of a Lax pair and a classical $\mathcal{R}$-matrix. Latter is almost of the canonical form with twist function and solves the classical Yang-Baxter equation.

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David Osten. 2023-12-15. A heterotic integrable deformation of the principal chiral model. https://arxiv.org/abs/2312.10149

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