String Theory Seminar at Duke University
We list here string theory seminars sponsored by the Center for Geometry and Theoretical Physics (CGTP), string theory seminars held at the University of North Carolina, Chapel Hill, and related talks in the Geometry/Topology seminar at Duke. The CGTP also holds a weekly group meeting at Friday lunch.
- Thursday, April 27, 2017, 3:00pm, 298 Physics (Physics Faculty Lounge), String Theory Seminar
Algebraic structures behind conformal blocks
- We will discuss a relation between conformal blocks, describing kinematics of a CFT, and integrable models of quantum-mechanical particles. I will show how the dependence of blocks on cross-ratios is encoded in equations of motion of a Calogero-Sutherland model and their dependence on conformal dimension and spin of the exchanged operator - in those of a relativistic Calogero-Sutherland model. Both are simultaneosly controlled by an integrable connection generalizing 2d Knizhnik-Zamolodchikov equations. The connection is associated to representations of degenerate double affine Hecke algebra, which suggests that a uniform treatment of conformal blocks with spin is possible via this approach.
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