Free-field realisation of boundary states and boundary correlation functions of minimal models

Details Free-field realisation of boundary states and boundary correlation functions of minimal models Free-field realisation of boundary states and boundary correlation functions of minimal models

2002-10-03

arxiv.org/abs/hep-th/0210032v4

J.Phys.A36:6875-6893,2003

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 2 figures, revtex. v2: A subsection added. v3: Corrections in normalisation. v4: Minor corrections

Scientific paper

10.1088/0305-4470/36/24/321

We propose a general formalism to compute exact correlation functions for Cardy's boundary states. Using the free-field construction of boundary states and applying the Coulomb-gas technique, it is shown that charge-neutrality conditions pick up particular linear combinations of conformal blocks. As an example we study the critical Ising model with free and fixed boundary conditions, and demonstrate that conventional results are reproduced. This formalism thus directly associates algebraically constructed boundary states with correlation functions which are in principle observable or numerically calculable.

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