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Article overview
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Adjunctions and defects in Landau-Ginzburg models | | Nils Carqueville
; Daniel Murfet
; | | Date: |
7 Aug 2012 | | Abstract: | We study the bicategory of Landau-Ginzburg models, which has potentials as
objects and matrix factorisations as 1-morphisms. Our main result is the
existence of adjoints in this bicategory and a description of evaluation and
coevaluation maps in terms of Atiyah classes and homological perturbation.
Being simultaneously conceptual and explicit, our construction lends itself to
applications in numerous directions. In particular, the bicategorical
perspective offers a unified approach to Landau-Ginzburg models: we show how to
compute arbitrary correlators and recover the full structure of open/closed
TFT, including the Kapustin-Li disk correlator and a simple proof of the Cardy
condition, in terms of defect operators which in turn are directly computable
from the adjunctions. | | Source: | arXiv, 1208.1481 | | Services: | Forum | Review | PDF | Favorites | |
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