Yutaka Matsuo
Wed 12 Oct 2016, 16:00 - 17:00
ICMS, New Seminar Room

If you have a question about this talk, please contact: James Lucietti (jluciet1)

Speaker also will give preseminar for PhD students at 13.00-14.00

A few years ago, Nekrasov and his collaborators proposed

               a double quantum deformation of Seiberg-Witten curve with omega background parameters

                which describes 4D and 5D supersymetric gauge theories.

                It illuminates not only the quantization of geometry but also gives an intimate relation with

                integrable models.  In this talk, we present a purely algebraic derivation of his proposal, based

                on the quantum deformation of W(infinity) algebra.  We introduced the building blocks of

                Nekrasov partition function, Gaiotto state, intertwiner and so on, and a simple characterization

                of such states and operators.   It gives the qq-deformed SW curve in the form of Ward identities.

                The connection with the integrable models will be also explained to some detail.