A supersymmetric matrix model: III. Hidden SUSY in statistical systems
نویسنده
چکیده
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)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 ∆ = −1/2, objects of the much-discussed Razumov–Stroganov conjectures, turn out to be just the strong-coupling supersymmetric vacua of our matrix model. CERN-PH-TH/2006-185 TPJU-10/2006 September 2006
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