International Journal of Modern Physics A

EXCHANGE RELATIONS OF LEVEL-TWO VERTEX OPERATORS OF $U_q (\widehat{{\rm sl}_2})$

Wen‐Li Yang

Published Mar 10, 2003• 0 citations

Abstract

We calculate the exchange relations of vertex operators of [Formula: see text] at level-two from their bosonic realization. We also study the corresponding invertibility relation of type I vertex operators.

DOI: 10.1142/s0217751x03013855

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International Journal of Modern Physics A

EXCHANGE RELATIONS OF LEVEL-TWO VERTEX OPERATORS OF $U_q (\widehat{{\rm sl}_2})$ EXCHANGE RELATIONS OF LEVEL-TWO VERTEX OPERATORS OF $U_q (\widehat{{\rm sl}_2})$

Wen‐Li Yang

Published Mar 10, 2003• 0 citations

Publisher

Abstract

DOI: 10.1142/s0217751x03013855

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Exchange relations of Level-two vertex operators of $U_q(\hat{sl_2})$ Exchange relations of Level-two vertex operators of $U_q(\hat{sl_2})$

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We calculate the exchange relations of vertex operators of $U_q(\hat{sl_2})$ at level-two from its bosonic realization. The corresponding invertibility relation of type I vertex operators is also studied.We calculate the exchange relations of vertex operators of $U_q(\hat{sl_2})$ at level-two from its bosonic realization. The corresponding invertibility relation of type I vertex operators is also studied.

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EXCHANGE RELATIONS OF LEVEL-TWO VERTEX OPERATORS OF

U_q (\widehat{{\rm sl}_2})

Exchange relations of Level-two vertex operators of

U_q(\hat{sl_2})

We calculate the exchange relations of vertex operators of

U_q(\hat{sl_2})

at level-two from its bosonic realization. The corresponding invertibility relation of type I vertex operators is also studied.

LEVEL 2 IRREDUCIBLE REPRESENTATIONS OF

U_q (\widehat{{\rm sl}}_2)

, VERTEX OPERATORS, AND THEIR CORRELATIONS

Exchange Relations for the q-Vertex Operators of

U_{q}(\widehat{sl_{2}})

Commutation relations of vertex operators related with the spin representation of

U_q(D_n^{(1)})

We calculate commutation relations of vertex operators for the spin representation of

U_q(D_n^{(1)})

by using recursive formulae of R-matrices. In quantum symmetry approach, we obtain the energy and momentum spectrum of the quantum spin chain model related with the spin representation from these commutation relations.

Staggered Polarization of Vertex Models with

U_q(\\widehat{sl}(n))

-Symmetry

In this paper we give an explicit formula for level 1 vertex operators related to

U_q(\\widehat{sl}(n))

as operators on the Fock spaces. We derive also their commutation relations. As an applications we culculate the one point functions of the one-dimensional spin chain associated with the vector representation of

U_q(\\widehat{sl}(n))

, thereby extending the recent work on the staggered polarization of the

XXZ

-model.