pith. machine review for the scientific record. sign in

arxiv: hep-th/0503149 · v2 · submitted 2005-03-19 · ✦ hep-th

Recognition: unknown

Dimer models and toric diagrams

Authors on Pith no claims yet
classification ✦ hep-th
keywords multiplicitiestoricdimergaugemodelsquiverdiagramsspace
0
0 comments X
read the original abstract

We propose a duality between quiver gauge theories and the combinatorics of dimer models. The connection is via toric diagrams together with multiplicities associated to points in the diagram (which count multiplicities of fields in the linear sigma model construction of the toric space). These multiplicities may be computed from both sides and are found to agree in all known examples. The dimer models provide new insights into the quiver gauge theories: for example they provide a closed formula for the multiplicities of arbitrary orbifolds of a toric space, and allow a new algorithmic method for exploring the phase structure of the quiver gauge theory.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. D2-brane probes of non-toric cDV threefolds via monopole superpotentials

    hep-th 2026-04 unverdicted novelty 7.0

    D2-brane probes of non-toric cDV threefolds are described by N=2 deformations of 3d N=4 affine Dynkin quivers using polynomial and monopole superpotentials, with 3d mirror symmetry reproducing the known quiver-collaps...

  2. Universal Planar Abelian Duals for 3d $\mathcal{N}=2$ Symplectic CS-SQCD

    hep-th 2026-05 unverdicted novelty 6.0

    New dualities are proposed between 3d N=2 USp(2N) CS-SQCD and Abelian planar quivers, obtained via real-mass deformations of N=4 mirrors and supported by matching partition functions, indices, and operator spectra.