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Article overview
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On the monoidal structure of matrix bi-factorisations | Nils Carqueville
; Ingo Runkel
; | Date: |
24 Sep 2009 | Abstract: | We investigate tensor products of matrix factorisations. This is most
naturally done by formulating matrix factorisations in terms of bimodules
instead of modules. If the underlying ring is C[x_1,...,x_N] we show that
bimodule matrix factorisations form a monoidal category.
This monoidal category has a physical interpretation in terms of defect lines
in a two-dimensional Landau-Ginzburg model. There is a dual description via
conformal field theory, which in the special case of W=x^d is 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. | Source: | arXiv, 0909.4381 | Services: | Forum | Review | PDF | Favorites |
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