Séminaire de Physique Théorique

Spin chains with dynamical lattice supersymmetry
Christian Hagendorf (Univ. de Genève)
Thursday 31 January 2013 14:00 -  Tours -  Salle 1180 (Bât E2)

Résumé :
Motivated by a few simple observations about the spectrum of the XXZ and XYZ Heisenberg models with particular anisotropy, I will show how to construct an exact supersymmetry algebra relevant to spin chains on the lattice. The supercharges are dynamical: they change the number of sites. The construction generalises to higher spin, and leads to lattice versions of the N=2 superconformal minimal models. The supersymmetry allows to prove the existence of zero-energy ground states which have often rich and surprising properties related to enumerative combinatorics. I will discuss in detail the case of the Fateev-Zamolodchikov chain at spin one whose ground-state components are related to the weighted enumeration of alternating sign matrices.

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