The number of gauge singlets in supersymmetric Yang-Mills quantum mechanics
Maciej Trzetrzelewski
TL;DR
This paper computes generating functions for counting gauge singlets in supersymmetric Yang-Mills quantum mechanics, providing insights into the structure of these models across multiple dimensions.
Contribution
It introduces explicit generating functions for gauge singlet counts in supersymmetric Yang-Mills quantum mechanics, aiding numerical and theoretical analysis.
Findings
Generated functions for U(N) and SU(N) singlets in various dimensions
Provides insights into the structure of gauge-invariant states
Facilitates numerical approaches to supersymmetric quantum mechanics
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.
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