Permutation branes and linear matrix factorisations

Abstract

All the known rational boundary states for Gepner models can be regarded as permutation branes. On general grounds, one expects that topological branes in Gepner models can be encoded as matrix factorisations of the corresponding Landau-Ginzburg potentials. In this paper we identify the matrix factorisations associated to arbitrary B-type permutation branes.

43 pages. v2: References added

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Cited by in corpus (33)

• Fusion of conformal interfaces
• Moduli Stabilization in Non-Geometric Backgrounds
• Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds
• D-brane superpotentials and RG flows on the quintic
• B-type defects in Landau-Ginzburg models
• Stringy Structure at the BPS Bound
• Orbifolds and topological defects
• Generalised N=2 permutation branes
• Pushing forward matrix factorisations
• Matrix factorisations and D-branes on K3
• Matrix Factorizations, D-Branes and their Deformations
• Moduli Webs and Superpotentials for Five-Branes
• D-branes in Toroidal Orbifolds and Mirror Symmetry
• Rigidity and defect actions in Landau-Ginzburg models
• On the monoidal structure of matrix bi-factorisations
• D-brane Categories for Orientifolds -- The Landau-Ginzburg Case
• Defect Perturbations in Landau-Ginzburg Models
• A family of SCFTs hosting all "very attractive" relatives of the (2)^4 Gepner model
• Hemisphere Partition Function and Monodromy
• Matrix factorisations for rational boundary conditions by defect fusion
• Permutation Orientifolds of Gepner Models
• Phase transitions in GLSMs and defects
• Fractional two-branes, toric orbifolds and the quantum McKay correspondence
• Triangle-generation in topological D-brane categories
• D-branes and matrix factorisations in supersymmetric coset models
• Matrix Factorizations and Homological Mirror Symmetry on the Torus
• The Orbifolds of Permutation-Type as Physical String Systems at Multiples of c=26. I.Extended Actions and New Twisted World-Sheet Gravities
• Permutation Orientifolds
• Defects and boundary RG flows in $\mathbb{C}/{\mathbb{Z}}_d$
• Non-Factorizable Branes on the Torus
• Algorithmic deformation of matrix factorisations
• On Cardy states in the (2,2,2,2) Gepner model
• B-type D-branes in hybrid models