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Supersymmetric Gauge Theories with Matters, Toric Geometries and Random Partitions

Yui Noma
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Abstract

We derive the relation between the Hilbert space of certain geometries under the Bohr-Sommerfeld quantization and the perturbative prepotentials for the supersymmetric five-dimensional SU(N) gauge theories with massive fundamental matters and with one massive adjoint matter. The gauge theory with one adjoint matter shows interesting features. A five-dimensional generalization of Nekrasov's partition function can be written as a correlation function of two-dimensional chiral bosons and as a partition function of a statistical model of partitions. From a ground state of the statistical model we reproduce the polyhedron which characterizes the Hilbert space.

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Yui Noma. 2006-05-25. Supersymmetric Gauge Theories with Matters, Toric Geometries and Random Partitions. https://doi.org/10.1143/ptp.116.1131

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