Attractor Flows from Defect Lines
arXiv:1002.2614 · doi:10.1088/1751-8113/44/7/075402
Abstract
Deforming a two dimensional conformal field theory on one side of a trivial defect line gives rise to a defect separating the original theory from its deformation. The Casimir force between these defects and other defect lines or boundaries is used to construct flows on bulk moduli spaces of CFTs. It turns out, that these flows are constant reparametrizations of gradient flows of the g-functions of the chosen defect or boundary condition. The special flows associated to supersymmetric boundary conditions in N=(2,2) superconformal field theories agree with the attractor flows studied in the context of black holes in N=2 supergravity.
28 pages
References in corpus (7)
- Duality and defects in rational conformal field theory
- Fusion of conformal interfaces
- Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds
- B-type defects in Landau-Ginzburg models
- On the monoidal structure of matrix bi-factorisations
- Brane backreactions and the Fischler-Susskind mechanism in conformal field theory
- Manifestly Supersymmetric RG Flows