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Rigidity and defect actions in Landau-Ginzburg models | Nils Carqueville
; Ingo Runkel
; | Date: |
29 Jun 2010 | Abstract: | Studying 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 | Services: | Forum | Review | PDF | Favorites |
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