Sum rules for the ground states of the O(1) loop model on a cylinder and the XXZ spin chain

Details Sum rules for the ground states of the O(1) loop model on a cylinder and the XXZ spin chain Sum rules for the ground states of the O(1) loop model on a cylinder and the XXZ spin chain

2006-03-02

arxiv.org/abs/math-ph/0603009v3

J. Stat. Mech. (2006) P08011

Physics

Mathematical Physics

final version to be published

Scientific paper

10.1088/1742-5468/2006/08/P08011

The sums of components of the ground states of the O(1) loop model on a
cylinder or of the XXZ quantum spin chain at Delta=-1/2 (of size L) are
expressed in terms of combinatorial numbers. The methods include the
introduction of spectral parameters and the use of integrability, a mapping
from size L to L+1, and knot-theoretic skein relations.

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