Speaker: | Masato Taki (YITP) |
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Title: | 2D Conformal Symmetries, 4D Gauge Theories, & AGT Relations |
Date (JST): | Tue, Apr 20, 2010, 13:15 - 14:45 |
Place: | Seminar Room A |
Abstract: |
Abstract for the mini-review: Conformal field theory is a well-studied topic of quantum field theory, but mysterious relations between conformal field theories in 2- and 4-dimensions have been discovered recently. I discuss these relations, which are called AGT relations. I will concentrate on a simplified version of them to get the feel of the relations. Abstract for the seminar: I present an overview of the AGT relations. Then I extend these relations by using the W-algebra, which is a generalization of the Virasoro conformal symmetry. These relations imply that there is unknown connection between the representation theory of conformal symmetries and the instanton calculus of 4-dimensional gauge theories. |