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Nuclear Physics B

On the spectrum of 2D conformal field theories

Doron Gepner

Published Jan 1, 1987• 145 citations
Publisher
DOI
10.1016/0550-3213(87)90098-8

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The presence of the boundaries imposes severe constraints on the possible Conformal Field Theories (CFTs). Special physical boundary conditions are compatible with CFT and define Boundary Conformal Field Theories (BCFTs). This presentation contains a study of the Yang-Lee edge singularity (YLS) of the two dimensional (2D) Ising model on the infinite strip. At the 2D Ising model's YLS, several potential BCFTs are identified. Based on numerical calculations on an Ising quantum chain at YLS, the measurements are used to identify one of potential BCFTs.