Exchange Relations for the q-Vertex Operators of Uq(\widehatsl2) | Zendy

Hidetoshi Awata | Zendy

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Exchange Relations for the q-Vertex Operators of Uq(\widehatsl2)

Author(s) -

Hidetoshi Awata

Publication year - 1993

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp/89.4.771

Subject(s) - connection (principal bundle) , physics , vertex (graph theory) , mathematical physics , boltzmann constant , vertex function , fusion rules , type (biology) , pure mathematics , combinatorics , quantum mechanics , fusion , graph , mathematics , ecology , geometry , biology , linguistics , philosophy , image fusion

We consider the q-deformed Knizhnik-Zamolodchikov equation for the two pointfunction of q-deformed vertex operators of $U_q(sl_2^)$. We give explicitly thefundamental solutions, the connection matrices and the exchange relations forthe q-vertex operators of spin 1/2 and $j \in {1\over 2}{\bf Z}_{\geq 0}$.Consequently, we confirm that the connection matrices are equivalent to theelliptic Boltzman weights of IRF type obtained by the fusion procedure from ABFmodels.Comment: 20p

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