Properties of the String Operator in the Eight-Vertex Model

Details Properties of the String Operator in the Eight-Vertex Model Properties of the String Operator in the Eight-Vertex Model

2010-11-19

arxiv.org/abs/1011.4455v2

J.Phys.A:Math.Theor.44(2011) 135001

Physics

Condensed Matter

Statistical Mechanics

18 pages, typographic errors corrected

Scientific paper

The construction of creation operators of exact strings in eigenvectors of the eight vertex model at elliptic roots of unity of the crossing parameter which allow the generation of the complete set of degenerate eigenstates is based on the conjecture that the 'naive' string operator vanishes. In this note we present a proof of this conjecture. Furthermore we show that for chains of odd length the string operator is either proportional to the symmetry operator $S$ or vanishes depending on the precise form of the crossing parameter.

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