Classification of 34 Haantjes structures on h4 Lie algebra yields three new integrable sigma models on H4 via deformation of the chiral model under solved integrability conditions.
Yang-Baxter invariance of the Nappi-Witten model
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We study Yang-Baxter deformations of the Nappi-Witten model with a prescription invented by Delduc, Magro and Vicedo. The deformations are specified by skew-symmetric classical $r$-matrices satisfying (modified) classical Yang-Baxter equations. We show that the sigma-model metric is invariant under arbitrary deformations (while the coefficient of $B$-field is changed) by utilizing the most general classical $r$-matrix. Furthermore, the coefficient of $B$-field is determined to be the original value from the requirement that the one-loop $\beta$-function should vanish. After all, the Nappi-Witten model is the unique conformal theory within the class of the Yang-Baxter deformations preserving the conformal invariance.
fields
hep-th 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Integrable sigma models with Haantjes structure on ${H_{4}}$ Lie group
Classification of 34 Haantjes structures on h4 Lie algebra yields three new integrable sigma models on H4 via deformation of the chiral model under solved integrability conditions.