10 research outputs found
Asymptotic Symmetries of String Theory on AdS3 X S3 with Ramond-Ramond Fluxes
String theory on AdS3 space-times with boundary conditions that allow for
black hole states has global asymptotic symmetries which include an infinite
dimensional conformal algebra. Using the conformal current algebra for
sigma-models on PSU(1,1|2), we explicitly construct the R-symmetry and Virasoro
charges in the worldsheet theory describing string theory on AdS3 X S3 with
Ramond-Ramond fluxes. We also indicate how to construct the full boundary
superconformal algebra. The boundary superconformal algebra plays an important
role in classifying the full spectrum of string theory on AdS3 with
Ramond-Ramond fluxes, and in the microscopic entropy counting in D1-D5 systems.Comment: 30 page
B-type defects in Landau-Ginzburg models
We consider Landau-Ginzburg models with possibly different superpotentials
glued together along one-dimensional defect lines. Defects preserving B-type
supersymmetry can be represented by matrix factorisations of the difference of
the superpotentials. The composition of these defects and their action on
B-type boundary conditions is described in this framework. The cases of
Landau-Ginzburg models with superpotential W=X^d and W=X^d+Z^2 are analysed in
detail, and the results are compared to the CFT treatment of defects in N=2
superconformal minimal models to which these Landau-Ginzburg models flow in the
IR.Comment: 50 pages, 2 figure
Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds
We propose defect lines as a useful tool to study bulk perturbations of
conformal field theories, in particular to analyse the induced renormalisation
group flows of boundary conditions. As a concrete example we investigate bulk
perturbations of N=2 supersymmetric minimal models. To these perturbations we
associate a special class of defects between the respective UV and IR theories,
whose fusion with boundary conditions indeed reproduces the behaviour of the
latter under the corresponding RG flows. v2: Some explanations added in section
4, minor changes.Comment: 37 pages, 6 figure