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Worldsheet approaches to D-branes on supersymmetric cycles
We consider D-branes wrapped around supersymmetric cycles of Calabi–Yau manifolds from the viewpoint of N=2 Landau–Ginzburg models with boundary as well as by consideration of boundary states in theExpand
On the Landau-Ginzburg description of boundary CFTs and special Lagrangian submanifolds
We consider Landau-Ginzburg (LG) models with boundary conditions pre- serving A-type N = 2 supersymmetry. We show the equivalence of a linear class of boundary conditions in the LG model to aExpand
D-branes on Calabi–Yau Manifolds and Superpotentials
We show how to compute terms in an expansion of the world-volume superpotential for fairly general D-branes on the quintic Calabi-Yau using linear sigma model techniques, and show in examples thatExpand
Correlation functions for minimal models on the torus
A Coulomb gas approach to the construction of correlation functions for minimal models on the torus is presented. In particular the conformal blocks for the two-point function (φ12φ12) are discussedExpand
Chiral Rings and Physical States in c < 1 String Theory
Abstract We show how the double cohomology of the string and Felder BRST charges naturally leads to the ring structure of c x p ⋍ y p+1 for the (p + 1, p) model. We also study the statesExpand
Boundary Fermions, Coherent Sheaves and D-branes on Calabi-Yau manifolds
Abstract We construct boundary conditions in the gauged linear sigma model for B-type D-branes on Calabi–Yau manifolds that correspond to coherent sheaves given by the cohomology of a monad. ThisExpand
SU(2)-k {WZW} and $Z^-$k Parafermion Models on the Torus
Abstract We study SU(2) k WZW and Z k parafermion models using a Coulomb-gas formulation related to that of Wakimoto and Zamolodchikov. We discuss the truncation of the Fock modules of the freeExpand
On D-branes from gauged linear sigma models
Abstract We study both A-type and B-type D-branes in the gauged linear sigma model by considering worldsheets with boundary. The boundary conditions on the matter and vector multiplet fields areExpand
Disc instantons in linear sigma models
Abstract We construct a linear sigma model for open-strings ending on special Lagrangian cycles of a Calabi–Yau manifold. We illustrate the construction for the cases considered by Aganagic and VafaExpand
D-branes, exceptional sheaves and quivers on Calabi-Yau manifolds: From Mukai to McKay
Abstract We present a method based on mutations of helices which leads to the construction (in the large-volume limit) of exceptional coherent sheaves associated with the (∑ala=0) orbits in GepnerExpand