A geometrical construction of rational boundary states in linear sigma models
| Autor: | Kristian D. Kennaway |
|---|---|
| Rok vydání: | 2002 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Pure mathematics Sigma model FOS: Physical sciences Boundary (topology) Toric variety Sigma Homology (mathematics) Lattice (discrete subgroup) Manifold Mathematics::Algebraic Geometry High Energy Physics - Theory (hep-th) Intersection Mathematics::Differential Geometry Mathematics::Symplectic Geometry |
| Zdroj: | Nuclear Physics B. 647:471-511 |
| ISSN: | 0550-3213 |
| DOI: | 10.1016/s0550-3213(02)00898-2 |
| Popis: | Starting from the geometrical construction of special Lagrangian submanifolds of a toric variety, we identify a certain subclass of A-type D-branes in the linear sigma model for a Calabi-Yau manifold and its mirror with the A- and B-type Recknagel-Schomerus boundary states of the Gepner model, by reproducing topological properties such as their labeling, intersection, and the relationships that exist in the homology lattice of the D-branes. In the non-linear sigma model phase these special Lagrangians reproduce an old construction of 3-cycles relevant for computing periods of the Calabi-Yau, and provide insight into other results in the literature on special Lagrangian submanifolds on compact Calabi-Yau manifolds. The geometrical construction of rational boundary states suggests several ways in which new Gepner model boundary states may be constructed. Comment: 45 pages, 8 Postscript figures, LaTeX2e. v2: the construction reproduces a larger set of CFT boundary states; clarified discussion of instanton contributions and moduli; other minor improvements; references added . v3: version accepted for publication in Nuclear Physics B (minor changes) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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