Wound D-branes in Gepner Models
arXiv:hep-th/0105174 · doi:10.1016/S0550-3213(01)00359-5
Abstract
We propose a new prescription of how to represent D-branes in Gepner models in more general homology classes than those in the previous constructions. The central role is played by a certain projection acting on the Recknagel-Schomerus boundary states. Consequently, the boundary states are in most cases no longer a sum of products of N=2 Ishibashi states, but nevertheless preserve spacetime supersymmetry and satisfy the Cardy condition. We demonstrate these in the (k=1)^3 Gepner model in detail, and construct boundary states for D-branes wound around arbitrary rigid 1-cycles on the corresponding 2-torus. We also emphasize the necessity of some angle-dependent transformations in identifying a proper free-field realization for each brane tilted at an angle. In particular, this is essential for the Witten index to give the correct intersection numbers between the different D-branes.
32 pages, 2 figures
References in corpus (1)
Cited by in corpus (6)
- Chiral Supersymmetric Gepner Model Orientifolds
- Supersymmetric Orientifolds of Gepner Models
- Particle models from orientifolds at Gepner-orbifold points
- On gauge couplings and thresholds in Type I Gepner models and otherwise
- A Geometrical Construction of Rational Boundary States in Linear Sigma Models
- On Cardy states in the (2,2,2,2) Gepner model