Obstructions and lines of marginal stability from the world-sheet

Abstract

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.

32 pages

References in corpus (9)

• Four-dimensional wall-crossing via three-dimensional field theory
• The chiral ring of AdS3/CFT2 and the attractor mechanism
• Conformal perturbation theory beyond the leading order
• D-brane superpotentials and RG flows on the quintic
• Symmetries of perturbed conformal field theories
• Harmonicity in N=4 supersymmetry and its quantum anomaly
• Matrix factorisations and D-branes on K3
• Matrix Factorizations, D-Branes and their Deformations
• Brane backreactions and the Fischler-Susskind mechanism in conformal field theory

Cited by in corpus (5)

• Multi-Parton Scattering Amplitudes via On-Shell Methods
• Symmetries of K3 sigma models
• Manifestly Supersymmetric RG Flows
• Boundary Weyl anomaly of $\mathcal{N}=(2,2)$ superconformal models
• Attractor Flows from Defect Lines