Nonrational Conformal Field Theory View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2009

AUTHORS

Jörg Teschner

ABSTRACT

We introduce a formalism for the construction of correlation functions in certain classes of nonrational conformal field theories. An important role is played by non-degenerate hermitian forms on the spaces of conformal blocks, which allow us to gain some control on the issues coming from the infinite-dimensionality of these spaces. Appropriate generalizations of the concept of a modular functor and of the Friedan-Shenker modular geometry are presented. It is argued that the hermitian form on the spaces of conformal blocks is in fact a scalar product when the representations involved are all unitary, which is illustrated by the case of the c>1 Virasoro conformal blocks. More... »

PAGES

697-739

References to SciGraph publications

  • 1989-06. Classical and quantum conformal field theory in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1988-12. Quantum field theory, Grassmannians, and algebraic curves in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2003-09. R-Operator, Co-Product and Haar-Measure for the Modular Double of in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1998-08. Operator algebras and conformal field theory III. Fusion of positive energy representations of LSU(N) using bounded operators in INVENTIONES MATHEMATICAE
  • 1996-03. An equivalence of fusion categories in GEOMETRIC AND FUNCTIONAL ANALYSIS
  • 1989-06. Superselection sectors with braid group statistics and exchange algebras in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1996. Integrals of motion and quantum groups in INTEGRABLE SYSTEMS AND QUANTUM GROUPS
  • 2001-12. Clebsch–Gordan and Racah–Wigner Coefficients for a Continuous Series of Representations of ?q (??(2, ℝ)) in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2000-09. On the Lego-Teichmüller game in TRANSFORMATION GROUPS
  • Book

    TITLE

    New Trends in Mathematical Physics

    ISBN

    978-90-481-2809-9
    978-90-481-2810-5

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-90-481-2810-5_46

    DOI

    http://dx.doi.org/10.1007/978-90-481-2810-5_46

    DIMENSIONS

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