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Chiral Observables and Modular Invariants

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Abstract:

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.

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  1. Institut für Theoretische Physik, Universität Göttingen, Bunsenstrasse 9, 37073 Göttingen, Germany.¶E-mail: rehren@theorie.physik.uni-goettingen.de, , , , , , DE

    K.-H. Rehren

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  1. K.-H. Rehren
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Received: 19 April 1999 / Accepted: 20 July 1999

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Rehren, KH. Chiral Observables and Modular Invariants. Comm Math Phys 208, 689–712 (2000). https://doi.org/10.1007/PL00005523

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  • DOI: https://doi.org/10.1007/PL00005523

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