City Research Online

Dimer models from mirror symmetry and quivering amoebae

Feng, B., He, Y., Kennaway, K. D. & Vafa, C (2008). Dimer models from mirror symmetry and quivering amoebae. Advances in Theoretical and Mathematical Physics, 12(3), pp. 489-545.

WarningThere is a more recent version of this item available.

Abstract

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.

Publication Type: Article
Subjects: Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
[img]
Preview
PDF
Download (983kB) | Preview

Export

Downloads

Downloads per month over past year

View more statistics

Available Versions of this Item

Actions (login required)

Admin Login Admin Login