Two-Point Functions and Logarithmic Boundary Operators in Boundary Logarithmic Conformal Field Theories
Yukitaka Ishimoto
Abstract
Amongst conformal field theories, there exist logarithmic conformal field theories such as cp,1 models. We have investigated cp,q models with a boundary in search of logarithmic theories and have found logarithmic solutions of two-point functions in the context of the Coulomb gas picture. We have also found the relations between coefficients in the two-point functions and correlation functions of logarithmic boundary operators, and have confirmed the solutions in [hep-th/0003184]. Other two-point functions and boundary operators have also been studied in the free boson construction of boundary CFT with SU(2)k symmetry in regard to logarithmic theories. This paper is based on a part of D. Phil. Thesis [hep-th/0312160].
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