On unitary representations of the exceptional non-linear N=7 and N=8 superconformai algebras in terms of free fields

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Abstract

The simplest free-field realizations of the exceptional non-linear (quadratically generated, or W-type) N = 8 and N = 7 superconformai algebras with Spin(7) and G2 affine currents, respectively, are investigated. Both the N = 8 and N = 1 algebras are found to admit unitary and highest-weight irreducible representations in terms of a single free boson and free fermions in 8 of Spin(7) or 7 of G2, respectively, at level k = 1 and the corresponding central charges c8 = 26/5 and c7 = 5.

Original languageEnglish
Pages (from-to)156-160
Number of pages5
JournalNuclear Physics B - Proceedings Supplements
Volume49
Issue number1-3
DOIs
Publication statusPublished - Jun 1996

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algebra
bosons
fermions

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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abstract = "The simplest free-field realizations of the exceptional non-linear (quadratically generated, or W-type) N = 8 and N = 7 superconformai algebras with Spin(7) and G2 affine currents, respectively, are investigated. Both the N = 8 and N = 1 algebras are found to admit unitary and highest-weight irreducible representations in terms of a single free boson and free fermions in 8 of Spin(7) or 7 of G2, respectively, at level k = 1 and the corresponding central charges c8 = 26/5 and c7 = 5.",
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year = "1996",
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AB - The simplest free-field realizations of the exceptional non-linear (quadratically generated, or W-type) N = 8 and N = 7 superconformai algebras with Spin(7) and G2 affine currents, respectively, are investigated. Both the N = 8 and N = 1 algebras are found to admit unitary and highest-weight irreducible representations in terms of a single free boson and free fermions in 8 of Spin(7) or 7 of G2, respectively, at level k = 1 and the corresponding central charges c8 = 26/5 and c7 = 5.

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