B-type defects in Landau-Ginzburg models
Ilka Brunner,Daniel Roggenkamp +1 more
TLDR
In this article, the authors consider Landau-Ginzburg models with possibly different superpotentials glued together along one-dimensional defect lines, and the composition of these defects and their action on B-type boundary conditions is described in this framework.Abstract:
We consider Landau-Ginzburg models with possibly different superpotentials glued together along one-dimensional defect lines. Defects preserving B-type supersymmetry can be represented by matrix factorisations of the difference of the superpotentials. The composition of these defects and their action on B-type boundary conditions is described in this framework. The cases of Landau-Ginzburg models with superpotential W = Xd and W = Xd+Z2 are analysed in detail, and the results are compared to the CFT treatment of defects in N = 2 superconformal minimal models to which these Landau-Ginzburg models flow in the IR.read more
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Progress in Mathematics
TL;DR: In this article, the inner form of a general linear group over a non-archimedean local field is shown to preserve the depths of essentially tame Langlands parameters, and it is shown that the local Langlands correspondence for G preserves depths.
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Fivebranes and 4-Manifolds
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Orbifold completion of defect bicategories
Nils Carqueville,Ingo Runkel +1 more
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Fusion of conformal interfaces
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Defects and bulk perturbations of boundary Landau-Ginzburg orbifolds
Ilka Brunner,Daniel Roggenkamp +1 more
TL;DR: In this article, defect lines are used as a useful tool in the study of bulk perturbations of conformal field theory, in particular in the analysis of the induced renormalization group flows of boundary conditions.
References
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Journal ArticleDOI
Matrix factorizations and link homology
Mikhail Khovanov,Lev Rozansky +1 more
TL;DR: Khovanov et al. as mentioned in this paper constructed a doubly-graded homology theory of links with the Euler characteristic, which is based on matrix factorizations, which provide a linear algebra description of maximal Cohen-Macaulay modules on isolated hypersurface singularities.
Mirror Manifolds And Topological Field Theory
TL;DR: In this article, the mirror manifold problem is explained from the point of view of topological field theory, which can be naturally understood from the perspective of the mirror map between mirror moduli spaces.
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Triangulated categories of singularities and d-branes in landau-ginzburg models
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Equivalences of derived categories and K3 surfaces
TL;DR: In this paper, derived categories of coherent sheaves on smooth projective variaties were considered and it was shown that any equivalence between them can be represented by an object on the product.