Obstructions and lines of marginal stability from the world-sheet

Details Obstructions and lines of marginal stability from the world-sheet Obstructions and lines of marginal stability from the world-sheet

2009-02-18

arxiv.org/abs/0902.3177v1

JHEP 0905:007,2009

Physics

High Energy Physics

High Energy Physics - Theory

32 pages

Scientific paper

10.1088/1126-6708/2009/05/007

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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