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

Tomomi Muto
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Abstract

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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Tomomi Muto. 2005-08-31. A relation between moduli space of D-branes on orbifolds and Ising model. https://doi.org/10.1088/1126-6708%2F2005%2F12%2F025

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