Unified theory of Richardson-Gaudin integrability (2015-2019)
Abstract
Richardson-Gaudin systems form a class of mathematical models of interacting particles that serve as a foundation to understand important phenomena in modern physics. Being integrable, these quantum systems enable deep insights. They are tractable so as to allow for exact analysis, while being elaborate enough to exhibit complex physical properties, notably phase transitions. The international team of researchers aims to merge various approaches for analysing the integrability of such models. Successful outcomes will produce inventive mathematical techniques, linking a diverse range of fields of current activity and growth. The resulting unified theory will open the door to exciting and innovative pathways in mathematical physics research.
