Boundary states in boundary logarithmic CFT

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.

LaTeX, 21 pages; a reference added

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• Branes in the GL(1|1) WZNW-Model
• Boundary States in c=-2 Logarithmic Conformal Field Theory
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• Brany Liouville Inflation
• Logarithmic conformal field theory with boundary
• SU(2)_0 and OSp(2|2)_{-2} WZNW models : Two current algebras, one Logarithmic CFT
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• Boundary States and Symplectic Fermions
• Extended chiral algebras and the emergence of SU(2) quantum numbers in the Coulomb gas
• Extended multiplet structure in Logarithmic Conformal Field Theories
• Two-Point Functions and Boundary States in Boundary Logarithmic Conformal Field Theories
• Two-Point Functions and Logarithmic Boundary Operators in Boundary Logarithmic Conformal Field Theories
• Some Aspects of c=-2 Theory
• Boundary Criticality of Complex Conformal Field Theory: A Case Study in the Non-Hermitian 5-State Potts Model