On the unitary representations of a class of N = 4 superconformal algebras

Murat Gunaydin, J. L. Petersen, A. Taormina, A. Van Proeyen

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49 Citations (Scopus)

Abstract

We derive properties of unitary highest weight representations of the N = 4 superconformal algebras in 2 dimensions, characterized by two SU(2)Kač-Moody subalgebras. For the range 3 ≤ c < 6 we can prove that we have constructed all unitary highest weight representations. These reduce in N = 2 to the discrete series. For other values of the parameters we derive bounds on the values of h, and we conjecture that these are complete. This is motivated by explicit constructions of representations for various values of the parameters. For the so-called massless representations we do indeed prove that our treatment is complete.

Original languageEnglish (US)
Pages (from-to)402-430
Number of pages29
JournalNuclear Physics, Section B
Volume322
Issue number2
DOIs
StatePublished - Aug 14 1989

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algebra

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Gunaydin, Murat ; Petersen, J. L. ; Taormina, A. ; Van Proeyen, A. / On the unitary representations of a class of N = 4 superconformal algebras. In: Nuclear Physics, Section B. 1989 ; Vol. 322, No. 2. pp. 402-430.
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On the unitary representations of a class of N = 4 superconformal algebras. / Gunaydin, Murat; Petersen, J. L.; Taormina, A.; Van Proeyen, A.

In: Nuclear Physics, Section B, Vol. 322, No. 2, 14.08.1989, p. 402-430.

Research output: Contribution to journalArticle

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