Доклад Фёдора Левкович-Маслюка (Ecole Normale Superieure, Paris) : "Точные результаты в калибровочных и струнных теориях из интегрируемости"

Integrable systems combine rich mathematical structures with importance in physics as solvable models of complex phenomena. I will discuss recent advances in understanding integrable Yang-Mills quantum field theories. Integrability also sheds light on their duality with string theory and could lead to the solution of a nontrivial field theory in realistic 4 dimensions for the first time. I will focus on computation of the exact spectrum using quantum spectral curve methods and results for correlation functions utilizing ideas of separation of variables. I will also give a pedagogical introduction to simpler integrable spin chains and present a novel highly compact construction for their eigenstates, alternative to standard nested Bethe ansatz.