Sommaire:

Finding the right degrees of freedom is a key step in solving strongly interacting field theories. Considerable progress in this direction was made in the last decades for higher dimensional supersymmetric gauge theories, guided by dualities with string theory. Two complementary approaches have been particularly useful in the exploration of the quantum structure of these theories: one is supersymmetric localisation and the other is integrability. Very recently it was noticed that common structures appear in both approaches when they are applied to the N=2 super-conformal theory in four dimensions which is obtained as a Z_K orbifold of the N=4 super Yang-Mills (SYM) theory. This hints at a deeper structure underlying both localisation and integrability. A special class of three-point functions in the N=2 SYM theory were computed first by localisation, in terms of a Fredholm determinant of a Bessel operator generalising the Tracy-Widom distribution. The talk, based on a recently completed work in collaboration with Gwenaël Ferrando, Shota Komatsu and Gabriel Lefundes, will explain how this result can be derived from the integrability approach to correlation functions, which was developed initially for the N=4 SYM theory and where the Fredholm determinant appears naturally.

Pour plus d'informations, merci de contacter Alexandrov S.