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29 March 2024
 
  » arxiv » 1006.5609

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Rigidity and defect actions in Landau-Ginzburg models
Nils Carqueville ; Ingo Runkel ;
Date 29 Jun 2010
AbstractStudying two-dimensional field theories in the presence of defect lines naturally gives rise to monoidal categories: their objects are the different (topological) defect conditions, their morphisms are junction fields, and their tensor product describes the fusion of defects. These categories should be equipped with a duality operation corresponding to reversing the orientation of the defect line, providing a rigid and pivotal structure. We make this structure explicit in topological Landau-Ginzburg models with potential x^d, where defects are described by matrix factorisations of x^d-y^d. The duality allows to compute an action of defects on bulk fields, which we compare to the corresponding N=2 conformal field theories. We find that the two actions differ by phases.
Source arXiv, 1006.5609
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