Speaker: Ana Retore

Title: Beyond “standard” integrability

Abstract: The presence of integrability in a given model translates in a powerful toolkit available to solve and understand that model. In fact, in the last decades, it became clear that even having integrability perturbatively allows for remarkable progress (especially in N=4 Super Yang-Mills).
In 2022, M. de Leeuw and I proposed a method to systematically obtain integrable deformations perturbatively (order by order in the coupling constant), while targeting properties like specific symmetries and types of interaction. In ongoing work, I improved the efficiency of our method  and applied it to spin-1 su(2) invariant chains.
In this talk I will review the current  state of integrability techniques and show new integrable deformations of the three different spin-1 su(2) invariant chains.