Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-09-28
JHEP 0611:030,2006
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, note and references added at the end
Scientific paper
10.1088/1126-6708/2006/11/030
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 $\Delta = - 1/2$, objects of the much-discussed Razumov--Stroganov conjectures, turn out to be just the strong-coupling supersymmetric vacua of our matrix model.
Veneziano Gabriele
Wosiek Jacek
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