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Matrix factorisations for rational boundary conditions by defect fusion

Behr, N., & Fredenhagen, S. (2015). Matrix factorisations for rational boundary conditions by defect fusion. Journal of high energy physics: JHEP, 2015(05): 055. doi:10.1007/JHEP05(2015)055.

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Genre: Journal Article

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1407.7254.pdf (Preprint), 679KB
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JHEP05_2015_055.pdf (Publisher version), 904KB
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Creators:
Behr, Nicolas, Author
Fredenhagen, Stefan1, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014

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Free keywords: High Energy Physics - Theory, hep-th,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
Abstract: A large class of two-dimensional $\mathcal{N}=(2,2)$ superconformal field theories can be understood as IR fixed-points of Landau-Ginzburg models. In particular, there are rational conformal field theories that also have a Landau-Ginzburg description. To understand better the relation between the structures in the rational conformal field theory and in the Landau-Ginzburg theory, we investigate how rational B-type boundary conditions are realised as matrix factorisations in the $SU(3)/U(2)$ Grassmannian Kazama-Suzuki model. As a tool to generate the matrix factorisations we make use of a particular interface between the Kazama-Suzuki model and products of minimal models, whose fusion can be realised as a simple functor on ring modules. This allows us to formulate a proposal for all matrix factorisations corresponding to rational boundary conditions in the $SU(3)/U(2)$ model.

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Dates: 2014-07-2720152015
Publication Status: Published in print
Pages: 33+23 pages, 3 figures
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Rev. Method: -
Identifiers: arXiv: 1407.7254
DOI: 10.1007/JHEP05(2015)055
Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2015 (05) Sequence Number: 055 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111021927548002