Particle production in a light-cone gauge fixed Jordanian deformation of
arXiv:2412.08411
Abstract
We consider a string on a Jordanian deformation of the spacetime. This model belongs to the larger class of Homogeneous Yang-Baxter deformations, which preserve classical integrability in the sense that one can construct an explicit Lax connection. To study the scattering of bosonic worldsheet excitations, we fix light-cone gauge and expand around a pointlike classical solution that reduces to the BMN vacuum in the undeformed limit. Our analysis shows that the light-cone gauge-fixed Hamiltonian, under a perturbative field expansion, includes cubic terms that give rise to non-trivial cubic processes for physical particles. We discuss this unexpected result in relation to the property of Lax integrability of the sigma-model.
23 pages. v3: Published version, with a summarising Table 5.1 added, and other minor changes. Ancillary Mathematica notebook attached to the arXiv submission