On the monoidal structure of matrix bi-factorizations

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Autor/in:
Erscheinungsjahr:
2010
Medientyp:
Text
Schlagworte:
  • Algebra
  • Defects
  • Boundary conditions
  • Gravitation
  • Black Holes (Astronomy)
  • Models
  • Algebra
  • Defects
  • Boundary conditions
  • Gravitation
  • Black Holes (Astronomy)
  • Models
Beschreibung:
  • We investigate tensor products of matrix factorizations. This is most naturally done by formulating matrix factorizations in terms of bimodules instead of modules. If the underlying ring is ℂ[x1,⋯ , xN], we showthat bimodulematrix factorizations form amonoidal category. This monoidal category has a physical interpretation in terms of defect lines in a two-dimensional LandauGinzburg model. There is a dual description via conformal field theory, which in the special case of W = x dis an N = 2 minimal model and which also gives rise to a monoidal category describing defect lines. We carry out a comparison of these two categories in certain subsectors by explicitly computing 6j-symbols. © 2010 IOP Publishing Ltd.
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  • info:eu-repo/semantics/restrictedAccess
Quellsystem:
Forschungsinformationssystem der UHH
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oai:www.edit.fis.uni-hamburg.de:publications/c5581966-b4ad-41e8-a793-4b3635958a6f