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Article overview
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N=2 minimal conformal field theories and matrix bifactorisations of x^d | Alexei Davydov
; Ana Ros Camacho
; Ingo Runkel
; | Date: |
7 Sep 2014 | Abstract: | We prove a tensor equivalence between full subcategories of a) graded matrix
factorisations of the potential x^d-y^d and b) representations of the N=2
minimal super vertex operator algebra at central charge 3-6/d, where d is odd.
The subcategories are given by a) permutation-type matrix factorisations with
consecutive index sets, and b) Neveu-Schwarz-type representations. The physical
motivation for this result is the Landau-Ginzburg / conformal field theory
correspondence, where it amounts to the equivalence of a subset of defects on
both sides of the correspondence. Our work builds on results by Brunner and
Roggenkamp [arXiv:0707.0922], where an isomorphism of fusion rules was
established. | Source: | arXiv, 1409.2144 | Services: | Forum | Review | PDF | Favorites |
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