Logarithmic conformal field theory with boundary
Shinsuke Kawai

TL;DR
This paper reviews boundary conformal field theory, modular transformations, and logarithmic CFT, focusing on the LCFT at c=-2, and discusses their applications and mathematical structures.
Contribution
It provides an introductory review of boundary CFT and extends the discussion to logarithmic cases, especially LCFT at c=-2, highlighting new insights into their structure.
Findings
Boundary CFT with boundary conditions analyzed
Modular transformations and Verlinde formula applied to LCFT
Specific focus on LCFT at c=-2 and its applications
Abstract
This lecture note covers topics on boundary conformal field theory, modular transformations and the Verlinde formula, and boundary logarithmic CFT. An introductory review on CFT with boundary and a discussion of its applications to logarithmic cases are given. LCFT at is mainly discussed.
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