Communications in Mathematical Physics

, Volume 208, Issue 3, pp 689–712 | Cite as

Chiral Observables and Modular Invariants

  • K.-H. Rehren


Various definitions of chiral observables in a given Möbius covariant two-dimensional (2D) theory are shown to be equivalent. Their representation theory in the vacuum Hilbert space of the 2D theory is studied. It shares the general characteristics of modular invariant partition functions, although SL(2, ℤ) transformation properties are not assumed. First steps towards a classification are made.


Hilbert Space Partition Function General Characteristic Representation Theory Transformation Property 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • K.-H. Rehren
    • 1
  1. 1.Institut für Theoretische Physik, Universität Göttingen, Bunsenstrasse 9, 37073 Göttingen, Germany.¶E-mail: rehren@theorie.physik.uni-goettingen.deDE

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