On Quantum Mechanics With Extended Supersymmetry and Nonabelian Gauge Constraints

Jul, 1984
49 pages
Published in:
  • Annals Phys. 164 (1985) 189
Report number:
  • BONN-HE-84-15

Citations per year

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Abstract: (Elsevier)
We analyze a weakly restricted general class of quantum mechanical models with at least four real supercharges and nonabelian gauge constraints. The innocent-looking restrictions lead automatically and exclusively to the quantum mechanics which are the dimensionally reduced counterparts of supersymmetric Yang-Mills field theories. This result provides in turn an independent proof that N = 1, N = 2 and N = 4 Yang-Mills fields are the only possible supersymmetric gauge field theories (without central charges) in four dimensions.
  • QUANTUM MECHANICS
  • SUPERSYMMETRY: ALGEBRA
  • GAUGE FIELD THEORY: YANG-MILLS
  • CHARGE
  • ALGEBRA: CLIFFORD