Boundary states in boundary logarithmic CFT

2001/03/31 by Yukitaka Ishimoto · 5 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #hep-th

paper · pdf · doi:10.1016/s0550-3213(01)00521-1

published as Nucl.Phys. B619 (2001) 415-433 · LaTeX, 21 pages; a reference added

arxiv created 2001/05/08 · openalex publication_date 2001/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

There exist logarithmic CFTs(LCFTs) such as the c_p,1 models. It is also well known that it generally contains Jordan cell structure. In this paper, we obtain the boundary Ishibashi state for a rank-2 Jordan cell structure and, with these states in c=-2 rational LCFT, we derive boundary states in the closed string picture, which correspond to boundary conditions in the open string picture. We also discuss the Verlinde formula for LCFT and possible applications to string theory.

Citations

• Logarithmic operators and dynamical extension of the symmetry group in the bosonic SU(2)0 and SUSY SU(2)2 WZNW models
• Infinite conformal symmetry in two-dimensional quantum field theory
• THE BOUNDARY AND CROSSCAP STATES IN CONFORMAL FIELD THEORIES

Cited by

• Boundary conditions and defect lines in the Abelian sandpile model
• The logarithmic triplet theory with boundary
• Two-Point Functions and Logarithmic Boundary Operators in Boundary Logarithmic Conformal Field Theories
• Boundary states in c=−2 logarithmic conformal field theory
• Boundary states and symplectic fermions