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arXiv · 1911.01505

Conformal field theory and the non-abelian $SU(2)_k$ chiral spin liquid

Thomas Quella·Abhishek Roy
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Abstract

We construct a family of 1D and 2D long-range SU(2) spin models as parent Hamiltonians associated with infinite dimensional matrix product states that arise from simple current correlation functions in $SU(2)_k$ WZW models. Our results provide a conformal field theory foundation for recent proposals by Greiter and coauthors regarding the realization of non-abelian chiral spin liquids. We explain, in particular, how the symmetrization procedure for the amplitudes of the ground state wave function suggested in Ref. arXiv:0903.4547 originates from the conformal field theory description.

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Thomas Quella, Abhishek Roy. 2019-11-04. Conformal field theory and the non-abelian $SU(2)_k$ chiral spin liquid. https://doi.org/10.1088/1742-5468%2Fab7c62

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