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A construction of thec<1 modular invariant partition functions

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Abstract

Decomposition theorems for certain representations of Kac-Moody algebras which are needed for the construction of modular invariant unitary conformal models are proved. It is shown that allc<1 modular invariant models can then be recovered from gauged free fermionic models, including the exceptional cases.

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Authors and Affiliations

  1. Department of Physics and Lawrence Berkeley Laboratory, University of California, 94720, Berkeley, CA, USA

    Daniel Altschuler & Korkut Bardakci

  2. Racah Institute of Physics, Hebrew University, Jerusalem, Israel

    Eliezer Rabinovici

Authors
  1. Daniel Altschuler
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  2. Korkut Bardakci
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  3. Eliezer Rabinovici
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Additional information

Communicated by L. Alvarez-Gaumé

This work was supported in part by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098 and in part by the National Science Foundation under grant PHY85-15857

Supported by the Swiss National Science Foundation

Supported in part by the American-Israeli Binational Science Foundation and the Israeli Academy of Sciences

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Altschuler, D., Bardakci, K. & Rabinovici, E. A construction of thec<1 modular invariant partition functions. Commun.Math. Phys. 118, 241–261 (1988). https://doi.org/10.1007/BF01218579

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  • DOI: https://doi.org/10.1007/BF01218579

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