Ana Retore: Constructing integrable long range deformations of spin chains

The presence of integrability in a given model provides us with incredible tools to understand its physical properties. For this reason, having a mechanism to determine whether a model is integrable or not is very useful.

In addition, in the context of spin chains, with few exceptions, integrability is well understood only for Hamiltonians whose interaction is of very short range. But several open problems, including the construction of the full spin chain in planar N=4 Super Yang-Mills, indicate the need for a better understanding of integrability in longer ranges of interaction.

With these questions in mind, I will show a method to systematically construct integrable long range deformations of spin chains and discuss some possible applications.

*Ana Retore, Durham University (UK)