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Obstructions and lines of marginal stability from the world-sheet

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arxiv 0902.3177 v1 pith:GJN75HFE submitted 2009-02-18 hep-th

Ilka Brunner , Matthias R. Gaberdiel , Stefan Hohenegger , Christoph A. Keller This is my paper · ORCID
classification hep-th
keywords obstructionsbranesd-branesfieldlinesmarginalstabilitytheory
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The behaviour of supersymmetric D-branes under deformations of the closed string background is studied using world-sheet methods. We explain how lines of marginal stability and obstructions arise from this point of view. We also show why N=2 B-type branes may be obstructed against (cc) perturbations, but why such obstructions do not occur for N=4 superconformal branes at c=6, i.e. for half-supersymmetric D-branes on K3. Our analysis is based on a field theory approach in superspace, as well as on techniques from perturbed conformal field theory.

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    A cutoff-truncation of the identity defect yields lift and transition defects for higher-rank abelian GLSMs, matching band restriction rules and minimal model flow defects.

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