The number of gauge singlets in supersymmetric Yang-Mills quantum mechanics
arXiv:0708.2946 · doi:10.1103/PhysRevD.76.085012
Abstract
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.
arXiv comment31 pages, to appear in Phys. Rev. D
References in corpus (18)
- M Theory As A Matrix Model: A Conjecture
- The Hagedorn Transition, Deconfinement and N=4 SYM Theory
- M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
- Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories
- Gauge Fields and Space-Time
- Counting BPS operators in N=4 SYM
- Spectra of supersymmetric Yang-Mills quantum mechanics
- High precision study of the structure of D=4 supersymmetric Yang-Mills quantum mechanics
- Free Energy and Phase Transition of the Matrix Model on a Plane-Wave
- Exact Witten Index in D=2 supersymmetric Yang-Mills quantum mechanics
- Planar Quantum Mechanics: an Intriguing Supersymmetric Example
- A supersymmetric matrix model: III. Hidden SUSY in statistical systems
- On the SO(9) structure of supersymmetric Yang-Mills quantum mechanics
- Large N behavior of two dimensional supersymmetric Yang-Mills quantum mechanics
- An Introduction to the Quantum Supermembrane
- The planar spectrum in U(N)-invariant quantum mechanics by Fock space methods: I. The bosonic case
- Energy spectrum and wave-functions of four-dimensional Supersymmetric Yang-Mills Quantum Mechanics for very high cut-offs
- Solving some gauge systems at infinite N
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