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Topological Conformal Field Theory from the Point of View of Integrable Systems

  • Chapter
Integrable Quantum Field Theories

Part of the book series: NATO ASI Series ((NSSB,volume 310))

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) via certain integrable bihamiltonian hierarchies of hydrodynamic type and their r-functions. It is explained how the calculation of the ground state metric on TCFT can be interpreted in terms of the theory of harmonic maps. Also a construction of some TCFT models via Coxeter groups is described.

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Authors and Affiliations

  1. SISSA, via Beirut, 2, I-34013, Trieste, Italy

    B. Dubrovin

  2. Department Mechanics and Mathematics, Moscow State University, 119899, Moscow, Russia

    B. Dubrovin

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  1. B. Dubrovin
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Editors and Affiliations

  1. International School for Advanced Studies and INFN, Trieste, Italy

    L. Bonora , G. Mussardo  & A. Schwimmer ,  & 

  2. University of Milan and INFN, Milan, Italy

    L. Girardello  & M. Martellini  & 

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© 1993 Springer Science+Business Media New York

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Dubrovin, B. (1993). Topological Conformal Field Theory from the Point of View of Integrable Systems. In: Bonora, L., Mussardo, G., Schwimmer, A., Girardello, L., Martellini, M. (eds) Integrable Quantum Field Theories. NATO ASI Series, vol 310. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1516-0_19

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  • DOI: https://doi.org/10.1007/978-1-4899-1516-0_19

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1518-4

  • Online ISBN: 978-1-4899-1516-0

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