Defect perturbations in Landau-Ginzburg models


Date

2010-03

Publication Type

Journal Article

ETH Bibliography

yes

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Abstract

Perturbations of B-type defects in Landau-Ginzburg models are considered. In particular, the effect of perturbations of defects on their fusion is analyzed in the framework of matrix factorizations. As an application, it is discussed how fusion with perturbed defects induces perturbations on boundary conditions. It is shown that in some classes of models all boundary perturbations can be obtained in this way. Moreover, a universal class of perturbed defects is constructed, whose fusion under certain conditions obey braid relations. The functors obtained by fusing these defects with boundary conditions are twist functors as introduced in the work of Seidel and Thomas.

Publication status

published

Editor

Book title

Volume

2010 (3)

Pages / Article No.

15

Publisher

Springer

Event

Edition / version

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Subject

D-branes; Conformal Field Models in String Theory; Topological Field Theories

Organisational unit

03657 - Gaberdiel, Matthias / Gaberdiel, Matthias check_circle

Notes

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