Rutgers University Department of Physics and Astronomy

Nikita Nekrasov
(Stony Brook University)

Title: One flew over the QQ-nest

Abstract: I will discuss the recent progress in Omega-deformed N=2 d=4 supersymmetric quiver theories of A-type with A-type gauge group, in the presence of various arrangements of surface defects. According to the BPS/CFT dictionary their expectation values are given by the conformal blocks of some (analytically continued) CFT, and, at the same time, by the matrix elements of quantum XXX spin chains. Using the qq-characters I derive (as opposed to postulate) the Q{\tilde Q}-system and the Lax operators, filling some gaps in the 30 year cycle of ideas connecting supersymmetry and integrability.
Based on the ongoing work with S.Jeong and N.Lee, and with I.Krichever

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