Integrable Structure of Conformal Field Theory III. The Yang-Baxter Relation

Abstract

In this paper we fill some gaps in the arguments of our previous papers [hep-th/9412229,hep-th/9604044]. In particular, we give a proof that the L operators of Conformal Field Theory indeed satisfy the defining relations of the Yang-Baxter algebra. Among other results we present a derivation of the functional relations satisfied by $\mathbf{T}$ and $\mathbf{Q}$ operators and a proof of the basic analyticity assumptions for these operators used in [hep-th/9412229,hep-th/9604044].

35 pages, harvmac TeX, minor changes, references added

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