GPP

Jean Liénardy (UCLouvain) : The XXZ spin chain: dynamic supersymmetry and special scalar products

Europe/Brussels
CYCL07 (MdeHemptinne)

CYCL07

MdeHemptinne

chemin du Cyclotron 2
Description
We consider the quantum spin ½ XXZ chain with anisotropy parameter ∆= -1/2 and open boundary conditions. This model possesses a dynamic supersymmetry on the lattice. We explicitly compute the cohomology of the corresponding supercharge and show it is non-trivial for specific diagonal boundary interactions. This implies that the Hamiltonian possesses zero-energy ground states which are supersymmetry singlets. We use the supersymmetry to determine sum rules for special scalar products involving an arbitrary number of these supersymmetry singlets for chains of different lengths. We compute their scaling limit and compare our results to the predictions of conformal field theory. This talk is based on ongoing work with C. Hagendorf.