The RR charges of the A-type Gepner models

  title={The RR charges of the A-type Gepner models},
  author={Claudio Caviezel and Stefan Fredenhagen and Matthias R. Gaberdiel},
  journal={Journal of High Energy Physics},
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. 

Tables from this paper

D-brane charges in Gepner models
We construct Gepner models in terms of coset conformal field theories and compute their twisted equivariant K-theories. These classify the D-brane charges on the associated geometric backgrounds andExpand
D-branes and matrix factorisations in supersymmetric coset models
Matrix factorisations describe B-type boundary conditions in $ \mathcal{N} = 2 $ supersymmetric Landau-Ginzburg models. At the infrared fixed point, they correspond to superconformal boundary states.Expand
Tensor product and permutation branes on the torus
We consider B-type D-branes in the Gepner model consisting of two minimal models at k = 2. This Gepner model is mirror to a torus theory. We establish the dictionary identifying the B-type D-branesExpand
DBI analysis of generalised permutation branes
We investigate D-branes on the product G×G of two group manifolds described as Wess-Zumino-Novikov-Witten models. When the levels of the two groups coincide, it is well known that there existExpand
D-brane categories for orientifolds—the Landau-Ginzburg case
We construct and classify categories of D-branes in orientifolds based on Landau-Ginzburg models and their orbifolds. Consistency of the worldsheet parity action on the matrix factorizations playsExpand
Permutation orientifolds of Gepner models
In tensor products of a left-right symmetric CFT, one can define permutation orientifolds by combining orientation reversal with involutive permutation symmetries. We construct the correspondingExpand
D-Branes in Topological String Theory
This thesis is concerned with D-branes in topological string theory, focusing on the description of B-type D-branes in topological Landau-Ginzburg models. Such D-branes are characterized by matrixExpand
Generalised N=2 permutation branes
Generalised permutation branes in products of N = 2 minimal models play an important role in accounting for all RR charges of Gepner models. In this paper an explicit conformal field theoryExpand
Orientifolds and D-branes in N=2 gauged linear sigma models
We study parity symmetries and boundary conditions in the framework of gauged linear sigma models. This allows us to investigate the Kaehler moduli dependence of the physics of D-branes as well asExpand
D-branes in toroidal orbifolds and mirror symmetry
We study D-branes extended in T2/4 using the mirror description as a tensor product of minimal models. We describe branes in the mirror both as boundary states in minimal models and as matrixExpand


Matrix factorisations and permutation branes
The description of B-type D-branes on a tensor product of two N = 2 minimal models in terms of matrix factorisations is related to the boundary state description in conformal field theory. As anExpand
Permutation branes and linear matrix factorisations
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 matrixExpand
The charges of a twisted brane
The charges of the twisted D-branes of certain WZW models are determined. The twisted D-branes are labelled by twisted representations of the affine algebra, and their charge is simply the groundExpand
Supersymmetric orientifolds of Gepner models
Supersymmetric orientifolds of four dimensional Gepner Models are constructed in a systematic way. For all levels of the Gepner model being odd the generic expression for both the A-type and theExpand
Generalised permutation branes
We propose a new class of non-factorising D-branes in the product group G × G where the fluxes and metrics on the two factors do not necessarily coincide. They generalise the maximally symmetricExpand
Boundary RG Flows of N=2 Minimal Models
We study boundary renormalization group flows of N=2 minimal models using Landau-Ginzburg description of B-type. A simple algebraic relation of matrices is relevant. We determine the pattern of theExpand
D-branes in the WZW model
It is stated in the literature that D-branes in the WZW-model associated with the gluing condition J = - \bar{J} along the boundary correspond to branes filling out the whole group volume. We showExpand
Chiral Supersymmetric Gepner Model Orientifolds
We explicitly construct A-type orientifolds of supersymmetric Gepner models. In order to reduce the tadpole cancellation conditions to a treatable number we explicitly work out the generic form ofExpand
D-branes in topological minimal models: the Landau-Ginzburg approach
We study D-branes in topologically twisted N = 2 minimal models using the Landau-Ginzburg realization. In the cases of A and D-type minimal models we provide what we believe is an exhaustive list ofExpand
D-branes in Gepner models
Abstract We discuss D-branes from a conformal field theory point of view. In this approach, branes are described by boundary states providing sources for closed string modes, independently ofExpand