Speaker
Description
I will discuss the continuum limit of a non-Hermitian deformation of the Heisenberg XXX spin chain. This model has non-diagonalisable transfer matrix, and it appeared in the classification of 4x4 solutions of the Yang-Baxter equation. This model can also be obtained by a Drinfeld twist of the XXX spin chain and its continuum limit gives a non-unitary deformation of the Landau-Lifshitz theory. I will show that this deformed model still admits an infinite tower of conserved charges in involution, and they are generated recursively by a boost operator. Finally, I will show that this theory admits particle production 1$\to$2, where one of the outgoing particle is soft, and therefore compatible with the integrability of the theory. This talk is based on arXiv:2506.13598.
