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Form factors of integrable Heisenberg (higher) spin chains
 A40 (2007) 7451 and hepth/0702186
"... We present determinant formulae for the form factors of spin operators of general integrable XXX Heisenberg spin chains for arbitrary (finite dimensional) spin representations. The results apply to any “mixed ” spin chains, such as alternating spin chains, or to spin chains with magnetic impurities. ..."
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We present determinant formulae for the form factors of spin operators of general integrable XXX Heisenberg spin chains for arbitrary (finite dimensional) spin representations. The results apply to any “mixed ” spin chains, such as alternating spin chains, or to spin chains with magnetic impurities.
Correlation functions of the integrable higherspin XXX and XXZ spin chains through the fusion method
 Nucl. Phys. B
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Emptiness formation probability of the integrable higherspin XXX and XXZ spin chains through the fusion method
, 2009
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A Freefield Representation of the Screening Currents of Uq ( ̂ sl(3))
, 1994
"... We construct five independent screening currents associated with the Uq ( ̂ sl(3)) quantum current algebra. The screening currents are expressed as exponentials of the eight basic deformed bosonic fields that are required in the quantum analogue of the Wakimoto realization of the current algebra. F ..."
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We construct five independent screening currents associated with the Uq ( ̂ sl(3)) quantum current algebra. The screening currents are expressed as exponentials of the eight basic deformed bosonic fields that are required in the quantum analogue of the Wakimoto realization of the current algebra. Four of the screening currents are ‘simple’, in that each one is given as a single exponential field. The fifth is expressed as an infinite sum of exponential fields. For reasons we discuss, we expect that the structure of the screening currents for a general quantum affine algebra will be similar to the Uq ( ̂ sl(3)) case. 1
Quantum Group Uq(sl(2)) Symmetry and Explicit Evaluation of the OnePoint Functions of the Integrable Spin1 XXZ Chain
, 2011
"... We show some symmetry relations among the correlation functions of the integrable higherspin XXX and XXZ spin chains, where we explicitly evaluate the multiple integrals representing the onepoint functions in the spin1 case. We review the multipleintegral representations of correlation function ..."
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We show some symmetry relations among the correlation functions of the integrable higherspin XXX and XXZ spin chains, where we explicitly evaluate the multiple integrals representing the onepoint functions in the spin1 case. We review the multipleintegral representations of correlation functions for the integrable higherspin XXZ chains derived in a region of the massless regime including the antiferromagnetic point. Here we make use of the gauge transformations between the symmetric and asymmetric Rmatrices, which correspond to the principal and homogeneous gradings, respectively, and we send the inhomogeneous parameters to the set of complete 2sstrings. We also give a numerical support for the analytical expression of the onepoint functions in the spin1 case.
FREE FIELD REALIZATION OF () VERTEX OPERATORS FOR LEVEL TWO MODULES OF Uq
, 1998
"... Abstract. Free field realization of vertex operators for level two modules of Uq ̂sl(2) are shown through the free field realization of the modules given by Idzumi in Ref.[4, 5]. We constructed types I and II vertex operators when the spin of the associated evaluation module is 1/2 and type II’s for ..."
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Abstract. Free field realization of vertex operators for level two modules of Uq ̂sl(2) are shown through the free field realization of the modules given by Idzumi in Ref.[4, 5]. We constructed types I and II vertex operators when the spin of the associated evaluation module is 1/2 and type II’s for the spin 1. 1.