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Topological conformal field theory from the point of view of integrable systems

TitleTopological conformal field theory from the point of view of integrable systems
Publication TypeBook Chapter
Year of Publication1993
AuthorsDubrovin, B
Book TitleIntegrable quantum field theories / edited by L. Bonora ... \et al.! - New York : Plenum Press, 1993. - page : 283 - 302.
PublisherSISSA
ISBN Number0306445344
Abstract

Recent results on classification of massive topological conformal field theories (TCFT) in terms of monodromy data of auxiliary linear operators with rational coefficients are presented. Procedure of coupling of a TCFT to topological gravity is described (at tree-level approximation) via certain integrable hierarchies of hydrodynamic type and their tau-functions. It is explained how the calculation of the ground state metric on TCFT can be interpreted in terms of harmonic maps. Also a construction of some models via Coxeter groups is described.

URLhttp://hdl.handle.net/1963/6479

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