Conformal Geometry Program Lecture Series: Anton Nazarov, Chebyshev Laboratory, St. Petersburg

Anton Nazarov, Chebyshev Laboratory, St. Petersburg

Title: Boundary Condition Changing Operators and Singular Vectors Virasoro and
Affine Lie Algebra Modules
Speaker: Anton Nazarov, Chebyshev Laboratory, St. Petersburg
Date: Wednesday, April 17, 2013
Time: 4:00pm – 5:00pm
Place: Seminar Room 313, Simons Center

 

 

 
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Abstract: We consider the behaviour of CFT correlation functions with respect to Schramm-Loewner evolution with additional Brownian motion on gauge group. Using the analogy with lattice models we consider correlation functions that satisfy martingale conditions and contain boundary condition changing operators and primary fields. Martingale conditions can be rewritten as algebraic relations on boundary condition changing operators and interpreted from representation-theoretic point of view.