Title: Large N expansion of beta-ensembles on arbitrary contours
Program Website: Large N limit problems in Kahler Geometry
Speaker: Anton Zabrodin, ITEP and HSE
Date: Thursday, June 04, 2015
Time: 01:00pm – 02:30pm
Place: Seminar Room 313, Simons Center
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Abstract: We consider a model of logarithmic gas (the beta-ensemble) on an arbitrary closed contour in the plane and develop a method for the large N expansion of the free energy and correlation functions. The main technical tool is an analog of the “loop equation” (the Ward identity) which has the form of a boundary condition for the stress-energy tensor in a conformal field theory.