TY - JOUR
T1 - The quantum symmetric XXZ chain at Δ = -1/2, alternating-sign matrices and plane partitions
AU - Batchelor, M. T.
AU - De Gier, J.
AU - Nienhuis, B.
PY - 2001/5/18
Y1 - 2001/5/18
N2 - We consider the ground-state wavefunction of the quantum symmetric antiferromagnetic XXZ chain with open and twisted boundary conditions at Δ = -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.
AB - We consider the ground-state wavefunction of the quantum symmetric antiferromagnetic XXZ chain with open and twisted boundary conditions at Δ = -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.
UR - http://www.scopus.com/inward/record.url?scp=0035907207&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/34/19/101
DO - 10.1088/0305-4470/34/19/101
M3 - Article
SN - 0305-4470
VL - 34
SP - L265-L270
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 19
ER -