A Supersymmetric matrix model. III. Hidden SUSY in statistical systems

Sep, 2006
18 pages
Published in:
  • JHEP 11 (2006) 030
e-Print:
Report number:
  • CERN-PH-TH-2006-185,
  • TPJU-10-2006

Citations per year

2006200820102012201401234
Abstract: (arXiv)
The Hamiltonian of a recently proposed supersymmetric matrix model has been shown to become block-diagonal in the large-N, infinite 't Hooft coupling limit. We show that (most of) these blocks can be mapped into seemingly non-supersymmetric (1+1)(1+1)-dimensional statistical systems, thus implying non-trivial (and apparently yet-unknown) relations within their spectra. Furthermore, the ground states of XXZ-chains with an odd number of sites and asymmetry parameter Δ=1/2\Delta = - 1/2, objects of the much-discussed Razumov--Stroganov conjectures, turn out to be just the strong-coupling supersymmetric vacua of our matrix model.
  • supersymmetry: hidden symmetry
  • matrix model
  • statistical mechanics
  • Hamiltonian formalism
  • expansion 1/N
  • ground state
  • model: spin
  • Bethe ansatz: solution
  • numerical calculations