Status | Confirmed |
Seminar Series | PT-IHES |
Subjects | hep-th |
Date | Wednesday 22 February 2017 |
Time | 14:30 |
Institute | IHES |
Seminar Room | Amphithéâtre Léon Motchane |
Speaker's Last Name | Zenkevich |
Speaker's First Name | Yegor |
Speaker's Email Address | |
Speaker's Institution | ITEP and INR RAS & IHES |
Title | Ding-Iohara-Miki algebra and gauge theories |
Abstract | We study the role of the Ding-Iohara-Miki (DIM) algebra, which is the simplest example of quantum toroidal algebra, in gauge theories, matrix models, q-deformed CFT and refined topological strings. We use DIM algebra to write down the Ward identities for the matrix models and show how it is connected to quiver W-algebras of the A-series. We describe the integrable structure of refined topological strings arising from DIM algebra: the R-matrix, T-operators and RTT relations. Finally, we write down the q-KZ equation for the DIM algebra intertwiners and interpret its solutions as refined topological string amplitudes. |
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