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Prog. Theor. Phys. Vol. 116 No. 6 (2006) pp. 1131-1157
Supersymmetric Gauge Theories with Matter, Toric Geometries and Random Partitions
Yui Noma*
Department of Physics, Graduate School of Science,
Osaka University, Toyonaka 560-0043, Japan
(Received September 4, 2006)
Abstract:
We derive the relation between the Hilbert space of certain geometries
with the Bohr-Sommerfeld quantization and perturbative prepotentials
for supersymmetric five-dimensional SU(N) gauge theories with
massive fundamental matter fields and one massive adjoint matter field.
The gauge theory with one adjoint matter field possesses 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
a polyhedron that characterizes the Hilbert space.
URL :
http://ptp.ipap.jp/link?PTP/116/1131/
DOI : 10.1143/PTP.116.1131
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