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

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

1998-05-02

arxiv.org/abs/hep-th/9805008v2

Commun.Math.Phys.200:297-324,1999

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, harvmac TeX, minor changes, references added

Scientific paper

10.1007/s002200050531

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 ${\bf T}$ and ${\bf Q}$ operators and a proof of the basic analyticity assumptions for these operators used in [hep-th/9412229,hep-th/9604044].

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