Open AccessSupersymmetric Gauge Theories with Matter, Toric Geometries and Random Partitions
Author(s) -
Yoshihiko Noma
Publication year - 2006
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.116.1131
Subject(s) - physics , partition function (quantum field theory) , gauge theory , faddeev–popov ghost , supersymmetric gauge theory , boson , hilbert space , gauge boson , quantization (signal processing) , introduction to gauge theory , theoretical physics , mathematical physics , gauge anomaly , quantum mechanics , mathematics , algorithm
We derive the relation between the Hilbert space of certain geometries underthe Bohr-Sommerfeld quantization and the perturbative prepotentials for thesupersymmetric five-dimensional SU(N) gauge theories with massive fundamentalmatters and with one massive adjoint matter. The gauge theory with one adjointmatter shows interesting features. A five-dimensional generalization ofNekrasov's partition function can be written as a correlation function oftwo-dimensional chiral bosons and as a partition function of a statisticalmodel of partitions. From a ground state of the statistical model we reproducethe polyhedron which characterizes the Hilbert space.Comment: 26 pages, 11 figures; v2 typos correcte
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