B-type defects in Landau-Ginzburg models - INSPIRE

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B-type defects in Landau-Ginzburg models

Ilka Brunner
(
- Zurich, ETH
)
,
Daniel Roggenkamp
(
- Rutgers U., Piscataway
)

Jul, 2007

51 pages

Published in:

JHEP 08 (2007) 093

e-Print:

0707.0922 [hep-th]

DOI:

10.1088/1126-6708/2007/08/093

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Abstract: (arXiv)

We consider Landau-Ginzburg models with possibly different superpotentials glued together along one-dimensional defect lines. Defects preserving B-type supersymmetry can be represented by matrix factorisations of the difference of the superpotentials. The composition of these defects and their action on B-type boundary conditions is described in this framework. The cases of Landau-Ginzburg models with superpotential W=X^d and W=X^d+Z^2 are analysed in detail, and the results are compared to the CFT treatment of defects in N=2 superconformal minimal models to which these Landau-Ginzburg models flow in the IR.

Landau-Ginzburg model
dimension: 2
defect: topological
supersymmetry: superspace
supersymmetry: 2
superpotential
potential: Kaehler
field theory: conformal
model: minimal

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