Conformal Field Theory: constructive aspects and integrability – CONFICA

Quantum field theories (QFT) are known to be a challenging area for mathematicians and physicists with many important questions still left open. Among them, Conformal Field Theories (CFT) are of special interest as they describe most known models of statistical physics at their critical point but their integrable structure makes their solving tractable. For these reasons, CFTs are a topical playground in mathematics/physics nowadays which attracts numerous distinguished scientists and has experienced recent spectacular advances (e.g. critical 3D Ising). This project proposes an interdisciplary team to investigate this topic at the level of both fundamental questions and applications of CFTs to the description of statistical physics models.