A Supersymmetric matrix model. II. Exploring higher-fermion-number sectors

Jul, 2006
14 pages
Published in:
  • JHEP 10 (2006) 033
e-Print:
Report number:
  • CERN-PH-TH-2006-143,
  • TPJU-09-2006

Citations per year

200620092012201520173012
Abstract:
Continuing our previous analysis of a supersymmetric quantum-mechanical matrix model, we study in detail the properties of its sectors with fermion number F=2 and 3. We confirm all previous expectations, modulo the appearance, at strong coupling, of {\it two} new bosonic ground states causing a further jump in Witten's index across a previously identified critical 't Hooft coupling λc\lambda_c. We are able to elucidate the origin of these new SUSY vacua by considering the λ\lambda \to \infty limit and a strong coupling expansion around it.
  • matrix model
  • supersymmetry
  • fermion number: 2
  • fermion number: 3
  • Hamiltonian formalism
  • particle: multiplet
  • critical phenomena
  • numerical calculations