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28 March 2024
 
  » arxiv » 1409.2144

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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
AbstractWe 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
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