Boundary states, matrix factorisations and correlation functions for the E-models

2006/10/16 by Christoph A. Keller, Sebastiano Rossi
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Boundary (topology) #Boundary conformal field theory #Brane #Chemistry #Conformal field theory #Conformal map #Context (archaeology) #Geology #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Nonlinear Waves and Solitons #Open string #Physics #Pure mathematics #String (physics) #String field theory #String theory #Superpotential #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2007/03/038

published as JHEP 0703:038,2007 · 20 pages, no figures

arxiv created 2006/10/16 · openalex publication_date 2007/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The open string spectra of the B-type D-branes of the N=2 E-models are calculated. Using these results we match the boundary states to the matrix factorisations of the corresponding Landau-Ginzburg models. The identification allows us to calculate specific terms in the effective brane superpotential of E₆ using conformal field theory methods, thereby enabling us to test results recently obtained in this context.

Citations

• Instanton Geometry and Quantum A-infinity structure on the Elliptic Curve
• N=2 Supersymmetric Integrable Models and Topological Field Theories
• The matrix factorizations of the D-model
• D-branes on ALE spaces and the ADE classification of conformal field theories
• Matrix factorizations, minimal models and Massey products