Dimer Models from Mirror Symmetry and Quivering Amoebae
| Autor: | Cumrun Vafa, Yang-Hui He, Bo Feng, Kristian D. Kennaway |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2008 |
| Předmět: |
High Energy Physics - Theory
Pure mathematics 010308 nuclear & particles physics General Mathematics Dimer Quiver Superpotential FOS: Physical sciences General Physics and Astronomy Singular point of a curve 01 natural sciences Graph Theoretical physics chemistry.chemical_compound High Energy Physics::Theory High Energy Physics - Theory (hep-th) chemistry 0103 physical sciences Gauge theory 010306 general physics Mirror symmetry Mathematics::Symplectic Geometry Subspace topology QC Mathematics |
| Zdroj: | Adv. Theor. Math. Phys. 12, no. 3 (2008), 489-545 |
| ISSN: | 1095-0761 |
| Popis: | Dimer models are 2-dimensional combinatorial systems that have been shown to encode the gauge groups, matter content and tree-level superpotential of the world-volume quiver gauge theories obtained by placing D3-branes at the tip of a singular toric Calabi-Yau cone. In particular the dimer graph is dual to the quiver graph. However, the string theoretic explanation of this was unclear. In this paper we use mirror symmetry to shed light on this: the dimer models live on a T^2 subspace of the T^3 fiber that is involved in mirror symmetry and is wrapped by D6-branes. These D6-branes are mirror to the D3-branes at the singular point, and geometrically encode the same quiver theory on their world-volume. 55 pages, 27 figures, LaTeX2e |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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