What question did this study set out to answer?

The aim is to present integrable deformations of Yang-Baxter sigma models using the Courant-Hilbert construction.

June 11, 2026Open Access

Courant-Hilbert deformations of Yang-Baxter sigma models

Key Points

The aim is to present integrable deformations of Yang-Baxter sigma models using the Courant-Hilbert construction.
Utilized four-dimensional Chern-Simons theory for the application of the Courant-Hilbert construction.
Showed interrelation between the Courant-Hilbert construction and Yang-Baxter deformations.
The resulting deformed action can be represented as the sum of the master formula Lagrangian and the trace of the energy-momentum tensor.
Demonstrated the universality of the correction term within the deformed action.

Abstract

A bstract 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.

Bookmark

View Full Paper