Modular transformation and boundary states in logarithmic conformal field theory

37Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.
Get full text

Abstract

We study the c = -2 model of logarithmic conformal field theory in the presence of a boundary using symplectic fermions. We find boundary states with consistent modular properties. A peculiar feature of this model is that the vacuum representation corresponding to the identity operator is a sub-representation of a "reducible but indecomposable" larger representation. This leads to unusual properties, such as the failure of the Verlinde formula. Despite such complexities in the structure of modules, our results suggest that logarithmic conformal field theories admit bona fide boundary states. © 2001 Published by Elsevier Science B.V.

Cite

CITATION STYLE

APA

Kawai, S., & Wheater, J. F. (2001). Modular transformation and boundary states in logarithmic conformal field theory. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 508(1–2), 203–210. https://doi.org/10.1016/S0370-2693(01)00503-2

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free