Conformal Yang-Baxter equation on $\mathrm{Cur}({\mathrm{sl}}_2(\mathbb{C}))$

Abstract

In 2008, J. Liberati defined what is a conformal Lie bialgebra and introduced the conformal classical Yang-Baxter equation (CCYBE). An $L$-invariant solution to the weak version of CCYBE provides a conformal Lie bialgebra structure. We describe all solutions to the conformal classical Yang-Baxter equation on the current Lie conformal algebra $\mathrm{Cur}({\mathrm{sl}}_2(\mathbb{C}))$ and to the weak version of it.

20 p

References in corpus (1)

• Conformal classical Yang-Baxter equation, $S$-equation and $\mathcal{O}$-operators