Communications in Mathematical Physics

, Volume 120, Issue 3, pp 481–499 | Cite as

The group of local biholomorphisms of ℂ1 and conformal field theory in the operator formalism

  • Robert J. Budzyński
  • Sławomir Klimek
  • Paweł Sadowski


Motivated by the operator formulation of conformal field theory on Riemann surfaces, we study the properties of the infinite dimensional group of local biholomorphic transformations (conformal reparametrizations) of ℂ1 and develop elements of its representation theory.


Neural Network Statistical Physic Field Theory Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Robert J. Budzyński
    • 1
  • Sławomir Klimek
    • 2
  • Paweł Sadowski
    • 3
  1. 1.Institute of Theoretical PhysicsWarsaw UniversityWarsawPoland
  2. 2.Department of Mathematical Methods of PhysicsWarsaw UniversityWarsawPoland
  3. 3.Institute of MathematicsBiałystok Branch of Warsaw UniversityBiałystokPoland

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