The logarithmic triplet theory with boundary

2006/08/31 by Matthias R Gaberdiel, Ingo Runkel · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th #math.QA

paper · pdf · doi:10.1088/0305-4470/39/47/016

published as J.Phys.A39:14745-14780,2006 · 43 pages, LaTeX; v2: references added, typos corrected, footnote 4 added

arxiv created 2006/10/27 · openalex publication_date 2006/11/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

The boundary theory for the c = −2 triplet model is investigated in detail. In particular, we show that there are four different boundary conditions that preserve the triplet algebra and check the consistency of the corresponding boundary operators by constructing their OPE coefficients explicitly. We also compute the correlation functions of two bulk fields in the presence of a boundary and verify that they are consistent with factorization.

Citations

• Boundary states in boundary logarithmic CFT
• Modular Group Representations and Fusion in Logarithmic Conformal Field Theories and in the Quantum Group Center
• Nonmeromorphic operator product expansion andC2-cofiniteness for a family of -algebras
• TFT construction of RCFT correlators I: partition functions
• BITS AND PIECES IN LOGARITHMIC CONFORMAL FIELD THEORY

Cited by

• A modular invariant bulk theory for the \boldsymbolc=0 triplet model