1. Supersymmetric Gauge Theories with Matters, Toric Geometries and Random Partitions
- Author
-
Yui Noma
- Subjects
Physics ,High Energy Physics - Theory ,Partition function (quantum field theory) ,Physics and Astronomy (miscellaneous) ,Generalization ,Hilbert space ,FOS: Physical sciences ,symbols.namesake ,Quantization (physics) ,Theoretical physics ,Polyhedron ,High Energy Physics - Theory (hep-th) ,Correlation function ,symbols ,Gauge theory ,Boson - 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., 26 pages, 11 figures; v2 typos corrected
- Published
- 2006