On the supersymmetric vacua of the Veneziano-Wosiek model

Jan, 2007
17 pages
Published in:
  • JHEP 03 (2007) 117
e-Print:

Citations per year

2007201020132016201910
Abstract: (arXiv)
We study the supersymmetric vacua of the Veneziano-Wosiek model in sectors with fermion number F=2, 4 at finite 't Hooft coupling lambda. We prove that for F=2 there are two zero energy vacua for lambda > lambda_c = 1 and none otherwise. We give the analytical expressions of both vacua. One of them was previously known, the second one is obtained by solving the cohomology of the supersymmetric charges. At F=4 we compute the would-be supersymmetric vacua at high order in the the strong coupling expansion and provide strong support to the conclusion that lambda = 1 is a critical point in this sector too. It separates a strong coupling phase with two symmetric vacua from a weak coupling phase with positive spectrum.
  • field theories in lower dimensions
  • 1/N expansion
  • supersymmetry and duality
  • matrix models
  • dimension: 2
  • supersymmetry
  • fermion number
  • vacuum state
  • Hamiltonian formalism
  • phase space: Hilbert space
Loading ...