The RR charges of A-type Gepner models

Abstract

It is shown that the RR charges of Gepner models are not all accounted for by the usual tensor product and permutation branes. In order to characterise the missing D-branes we study the matrix factorisation approach to the description of D-branes for Gepner models. For each of the A-type models we identify a set of matrix factorisations whose charges generate the full lattice of quantised charges. The additional factorisations that are required correspond to generalised permutation branes.

25 pages, comparison to results using path integrals added, minor changes in section 2, reference added

References in corpus (11)

• Moduli Stabilization in Non-Geometric Backgrounds
• Twisted K-theory and loop group representations
• D-branes from Matrix Factorizations
• Matrix factorisations and permutation branes
• Matrix Factorizations And Mirror Symmetry: The Cubic Curve
• Stability of Landau-Ginzburg branes
• Generalised permutation branes
• Generalised N=2 permutation branes
• The matrix factorisations of the D-model
• Boundary RG Flows of N=2 Minimal Models
• D-branes in Toroidal Orbifolds and Mirror Symmetry

Cited by in corpus (23)

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• The Landau-Ginzburg to Calabi-Yau Dictionary for D-Branes
• Generalised N=2 permutation branes
• Matrix factorisations and D-branes on K3
• D-branes in Toroidal Orbifolds and Mirror Symmetry
• D-brane Categories for Orientifolds -- The Landau-Ginzburg Case
• D-brane central charge and Landau-Ginzburg orbifolds
• D-Branes in Topological String Theory
• Matrix Factorizations, Massey Products and F-Terms for Two-Parameter Calabi-Yau Hypersurfaces
• Tensor Product and Permutation Branes on the Torus
• Hemisphere Partition Function and Monodromy
• D-Brane Charges in Gepner Models
• Generalised Permutation Branes on a product of cosets $G_{k_1}/H\times G_{k_2}/H$
• D-branes and matrix factorisations in supersymmetric coset models
• Permutation Orientifolds of Gepner Models
• Orientifolds and D-branes in N=2 gauged linear sigma models
• D-brane Moduli Spaces and Superpotentials in a Two-Parameter Model
• Algorithmic deformation of matrix factorisations
• Variable transformation defects
• DBI analysis of generalised permutation branes
• Matrix Factorizations For Non-Abelian Orbifolds