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. doi: 10.4310/ATMP.2008.v12.n3.a2

This is the latest version of this item.

[img]
Preview
Text - Accepted Version
Download (983kB) | Preview

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 T2 subspace of the T3 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.

Item Type: Article
Additional Information: Quiver gauge theories, dimer models, amoebæ, toric geometry, mirror symmetry.
Subjects: Q Science > QC Physics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/7515

Available Versions of this Item

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics