The exact solution and the finite size behaviour of the $Osp(1|2)$ invariant spin chain

Details The exact solution and the finite size behaviour of the $Osp(1|2)$ invariant spin chain The exact solution and the finite size behaviour of the $Osp(1|2)$ invariant spin chain

1995-02-22

arxiv.org/abs/hep-th/9502133v2

Nucl.Phys. B450 (1995) 768-788

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, many improvements made in order to clarify the text, one new appendix and extra figure added ( by request)

Scientific paper

10.1016/0550-3213(95)00406-I

We have solved exactly the $Osp(1|2)$ spin chain by the Bethe ansatz approach. Our solution is based on an equivalence between the $Osp(1|2)$ chain and certain special limit of the Izergin-Korepin vertex model. The completeness of the Bethe ansatz equations is discussed for a system with four sites and it is noted the appearance of special string structures. The Bethe ansatz presents an important phase-factor which distinguishes the even and odd sectors of the theory. The finite size properties are governed by a conformal field theory with central charge $c=1$.

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