Speaker: Deniz Bozkurt

Title: Long-Range to the Rescue of Yang-Baxter

Abstract: This talk presents recent progress on spin chains capturing the one-loop spectral problem of the simplest $\mathcal{N}=2$superconformal quiver gauge theory in four dimensions, obtained as a marginal deformation of the Z2​ orbifold of $\mathcal{N}=4$SYM. The main part, based on [arXiv:2408.03365] and [arXiv:2507.08934], constructs explicit three- and four-magnon eigenstates featuring long-range interactions. These solutions are consistent with both twisted and untwisted periodic boundary conditions and show agreement with exact diagonalization results. Furthermore, we uncover a recursive structure linking the one- to four-magnon sectors, whose coefficients satisfy an infinite tower of Yang–Baxter-like equations.