Nikita Nekrasov (IHES/SCGP) est titulaire de la Chaire Aisenstadt 2015. Il donnera une série de conférences dans le cadre du semestre thématique «Correspondence AdS/CFT, holographe, intégrabilité» sous le thème BPS/CFT correspondance.
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14 septembre à 16 h - 1er partie
15 septembre à 14 h 30 - 2e partie
16 septembre à 16 h - 3e partie
17 septembre à 14 h 30 - 4e partie
18 septembre à 16 h - Gauge theories and integrable systems
Résumé : BPS/CFT correspondence, 14-17 septembre
The non-perturbative quantum field theory and string theory is a source of deep connections between different branches of mathematics and physics. In these lectures I will focus on the correspondence between the generating functions of instanton invariants, the integrals over the moduli spaces of instantons in Yang-Mills theory in four dimensions, and the conformal blocks of two dimensional conformal field theories. The BPS/CFT correspondence was conjectured around 2002-2004 based on several examples, which kept coming up. The celebrated AGT conjecture (2009) is a particular example, where both sides of the BPS/CFT correspondence are well-known, but the connection is surprising. In the lectures I will present the new tool for proving these conjectures, the moduli space of crossed instantons. In a particular corner of the parameter space the BPS/CFT correspondence becomes the Bethe/gauge correspondence, relating quantum integrable systems and supersymmetric gauge theories. The lectures will report on the latest achievements in this field.
