A relation between moduli space of D-branes on orbifolds and Ising model

Details A relation between moduli space of D-branes on orbifolds and Ising model A relation between moduli space of D-branes on orbifolds and Ising model

2005-08-31

arxiv.org/abs/hep-th/0508248v1

JHEP 0512:025,2005

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 13 figures

Scientific paper

10.1088/1126-6708/2005/12/025

We study D-branes transverse to an abelian orbifold C^3/Z_n Z_n. The moduli space of the gauge theory on the D-branes is analyzed by combinatorial calculation based on toric geometry. It is shown that the calculation is related to a problemto count the number of ground states of an antiferromagnetic Ising model. The lattice on which the Ising model is defined is a triangular one defined on the McKay quiver of the orbifold.

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