Exact Solutions of Conformal Field Theory in Two Dimensions and Critical Phenomena

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  • Zamolodchikov A.B.
    Landau Institute for Theoretical Physics Academy of Sciences
  • Kanie Y.
    Department of Mathematics, Faculty of Education Mie University

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  • Exact Solutions of Conformal Field Theo

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Modern development of conformal field theory in two dimensions and its applications to critical phenomena are briefly reviewed. The specific properties of the renormalization group in two dimensions and the fundamentals of 2D conformal field theory are presented and the properties of degenerate representations of the Virasoro algebra and other infinite dimensional algebras, "minimal" models of conformal and superconformal field theory, "parafermionic" and other symmertries are discussed. We also investigate a perturbation theory around conformal solutions of field theory.

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