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Free-field realisation of boundary states and boundary correlation functions of minimal models
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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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Cited by 2 Pith papers
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Higher loops in AdS: applications to boundary CFT
Four-loop free energy and three-loop one-point functions in AdS produce new epsilon-expansion estimates for boundary central charges of the critical O(N) model in d=3.
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Free-field approaches to boundary $\mathcal{W} \big[ \widehat{g} \big] (p,p') $ minimal models
Derives Ishibashi states and explicit disk two-point functions for boundary rational QDS W[g-hat](p,p') minimal models via free bosonic fields and Coulomb-gas integrals.
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