Finite size emptiness formation probability of the XXZ spin chain at Δ=−1/2Δ=-1/2

preprint2011arXivOpen access

Abstract

In this paper we compute the Emptiness Formation Probability of a (twisted-) periodic XXZ spin chain of finite length at Δ=−1/2Δ=-1/2, thus proving the formulae conjectured by Razumov and Stroganov \cite{raz-strog1, raz-strog2}. The result is obtained by exploiting the fact that the ground state of the inhomogeneous XXZ spin chain at Δ=−1/2Δ=-1/2 satisfies a set of qKZ equations associated to Uq(sl2^)\displaystyle{U_q(\hat{sl_2})}.

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