Courant-Hilbert deformations of Yang-Baxter sigma models

Fuente: arXiv
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Main Authors: Fukushima, Osamu, Matsumoto, Takaki, Yoshida, Kentaroh
Format: Preprint
Published: 2026
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author Fukushima, Osamu
Matsumoto, Takaki
Yoshida, Kentaroh
author_facet Fukushima, Osamu
Matsumoto, Takaki
Yoshida, Kentaroh
contents We present integrable deformations of Yang-Baxter (YB) sigma models based on the Courant-Hilbert (CH) construction. To this end, we employ the four-dimensional Chern-Simons theory, in which the CH construction is shown in arXiv:2509.22080. As a result, the CH construction works in an intricate way alongside the YB deformations. Remarkably, the resulting deformed action can also be expressed as the sum of the master formula Lagrangian and the trace of the energy-momentum tensor. This result indicates the universality of the correction term.
format Preprint
id arxiv_https___arxiv_org_abs_2602_04662
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Courant-Hilbert deformations of Yang-Baxter sigma models
Fukushima, Osamu
Matsumoto, Takaki
Yoshida, Kentaroh
High Energy Physics - Theory
We present integrable deformations of Yang-Baxter (YB) sigma models based on the Courant-Hilbert (CH) construction. To this end, we employ the four-dimensional Chern-Simons theory, in which the CH construction is shown in arXiv:2509.22080. As a result, the CH construction works in an intricate way alongside the YB deformations. Remarkably, the resulting deformed action can also be expressed as the sum of the master formula Lagrangian and the trace of the energy-momentum tensor. This result indicates the universality of the correction term.
title Courant-Hilbert deformations of Yang-Baxter sigma models
topic High Energy Physics - Theory
url https://arxiv.org/abs/2602.04662