BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jake Stedman DTSTART:20211111T154500Z DTEND:20211111T173000Z DTSTAMP:20260423T040330Z UID:LIJC/52 DESCRIPTION:Title: Ga uged sigma models from four-dimensional Chern-Simons\nby Jake Stedman as part of London Integrability Journal Club\n\n\nAbstract\nSeveral years ago\, a new gauge theory called four-dimensional Chern-Simons was introduc ed by Costello in an attempt to explain the integrability of various two-d imensional models using techniques in gauge theory. My work focuses on the use of four-dimensional Chern-Simons to explain the integrability of two- dimensional sigma models. I will begin by reviewing the construction of th e Wess-Zumino-Witten (WZW) model as the boundary theory of three-dimension al Chern-Simons theory as was introduced by Moore and Seiberg. This will a llow me to introduce the analogous construction of Costello and Yamazaki\, in which two-dimensional sigma models appear as theories on defects in fo ur-dimensional Chern-Simons. This naturally leads to a discussion of my wo rk in which I construct a large class of gauged sigma models by coupling t ogether two four-dimensional Chern-Simons theories. I will argue that the structure of four-dimensional Chern-Simons suggests that these models are integrable and finish by constructing the gauged WZW model and conformal T oda theories. This talk is based on: https://arxiv.org/abs/2109.08101.\n LOCATION:https://researchseminars.org/talk/LIJC/52/ END:VEVENT END:VCALENDAR