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TMF, 1993, Volume 95, Number 2, Pages 385–394 (Mi tmf1474)  

Towards a classification of modular invariant partition functions for theories based on $N=4$ superconformal algebras

A. Taormina


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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English version:
Theoretical and Mathematical Physics, 1993, 95:2, 663–671

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Citation: A. Taormina, “Towards a classification of modular invariant partition functions for theories based on $N=4$ superconformal algebras”, TMF, 95:2 (1993), 385–394; Theoret. and Math. Phys., 95:2 (1993), 663–671

Citation in format AMSBIB
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\by A.~Taormina
\paper Towards a classification of modular invariant partition functions for theories based on $N=4$ superconformal algebras
\jour TMF
\yr 1993
\vol 95
\issue 2
\pages 385--394
\mathnet{http://mi.mathnet.ru/tmf1474}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1243262}
\zmath{https://zbmath.org/?q=an:0848.17029}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 95
\issue 2
\pages 663--671
\crossref{https://doi.org/10.1007/BF01017150}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1993ML10100019}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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