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Title:
Boundary Condition Changing Operators and Singular Vectors Virasoro and Affine Lie Algebra Modules
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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.
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