The number of gauge singlets in supersymmetric Yang-Mills quantum mechanics

Details The number of gauge singlets in supersymmetric Yang-Mills quantum mechanics The number of gauge singlets in supersymmetric Yang-Mills quantum mechanics

2007-08-22

arxiv.org/abs/0708.2946v1

Phys.Rev.D76:085012,2007

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.76.085012

We compute generating functions for number of U(N) (SU(N)) singlets in Fock space in several space dimensions. The motivation to find the explicit form of the functions is from the numerical approach to supersymmetric Yang-Mills quantum mechanics, based on Fock space. Incidently the functions give many important insights into the quantum mechanical models based U(N) (SU(N)) gauge group.

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