Imperial College London

Amihay Hanany

Faculty of Natural SciencesDepartment of Physics

Professor of Theoretical Physics



+44 (0)20 7594 3634a.hanany




611Huxley BuildingSouth Kensington Campus






BibTex format

author = {Hanany, A and Kennaway, KD},
title = {Dimer models and toric diagrams},
url = {},
year = {2005}

RIS format (EndNote, RefMan)

AB - We propose a duality between quiver gauge theories and the combinatorics ofdimer models. The connection is via toric diagrams together with multiplicitiesassociated to points in the diagram (which count multiplicities of fields inthe linear sigma model construction of the toric space). These multiplicitiesmay 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: forexample they provide a closed formula for the multiplicities of arbitraryorbifolds of a toric space, and allow a new algorithmic method for exploringthe phase structure of the quiver gauge theory.
AU - Hanany,A
AU - Kennaway,KD
PY - 2005///
TI - Dimer models and toric diagrams
UR -
ER -