Dresden 2014 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 4: Low-Dimensional Systems: 1D - Theory

TT 4.7: Talk

Monday, March 31, 2014, 11:15–11:30, HSZ 201

The gl(1|1) Lie superalgebra as a basis for the Nielsen-Cirac-Sierra construction — Thomas Quella, Roberto Bondesan, and •Jochen Peschutter — University of Cologne, Cologne, Germany

By explicitly constructing quantum spin Hamiltonians and their groundstates for the SU(2)_k Wess-Zumino-Witten model, Nielsen, Cirac and Sierra have proposed a general blueprint for the construction of quantum spin Hamiltonians with more general symmetries. The crucial ingredients in this pursuit are the so-called null vectors contained in the corresponding Verma module.

In this talk, we will present the status of our progress in specifically applying these ideas to the Lie superalgebra gl(1|1).