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Towards a classification of modular invariant partition functions for theories based onN=4 superconformal algebras

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Abstract

The representation theory of the doubly extended N=4 superconformal algebra is reviewed. The modular properties of the corresponding characters can be derived, using characters sumrules for coset realizations of these N=4 algebras. Some particular combinations of massless characters are shown to transform as affine SU(2) characters under S and T, a fact used to completely classify the massless sector of the partition function.

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Authors
  1. Anne Taormina
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Published in Teoreticheskaya i Matematicheskaya Fizika, Vol. 95, No. 2, pp. 385–394, May, 1993.

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Taormina, A. Towards a classification of modular invariant partition functions for theories based onN=4 superconformal algebras. Theor Math Phys 95, 663–671 (1993). https://doi.org/10.1007/BF01017150

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