Physics – Mathematical Physics
Scientific paper
2011-09-19
J. Stat. Phys. 146 (2012), 1122-1155
Physics
Mathematical Physics
40 pages, 6 figures, TikZ
Scientific paper
10.1007/s10955-012-0430-0
We show that the XYZ spin chain along the special line of couplings J_xJ_y+J_xJ_z+J_yJ_z=0 possesses a hidden N=(2,2) supersymmetry. This lattice supersymmetry is non-local and changes the number of sites. It extends to the full transfer matrix of the corresponding eight-vertex model. In particular, it is shown how to derive the supercharges from Baxter's Bethe ansatz. This analysis leads to new conjectures concerning the ground state for chains of odd length. We also discuss a correspondence between the spectrum of this XYZ chain and that of a manifestly supersymmetric staggered fermion chain.
Fendley Paul
Hagendorf Christian
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