J.C. de Gier
- The quantum symmetric XXZ chain at Delta=-1/2, alternating-sign matrices and plane partitions
- Journal of Physics. A, Mathematical and General
- Volume | Issue number
- 34 | L
- Pages (from-to)
- Document type
- Faculty of Science (FNWI)
- Institute for Theoretical Physics Amsterdam (ITFA)
We consider the ground-state wavefunction of the quantum symmetric antiferromagnetic XXZ chain with open and twisted boundary conditions at Delta = -1/2, along with the ground-state wavefunction of the corresponding O(n) loop model at n = 1. Based on exact results for finite-size systems, sums involving the wavefunction components, and in some cases the largest component itself, are conjectured to be directly related to the total number of alternating-sign matrices and plane partitions in certain symmetry classes.
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