### 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 G_{2} 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 G_{2}, respectively, at level k = 1 and the corresponding central charges c_{8} = 26/5 and c_{7} = 5.

Original language | English |
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Pages (from-to) | 156-160 |

Number of pages | 5 |

Journal | Nuclear Physics B - Proceedings Supplements |

Volume | 49 |

Issue number | 1-3 |

DOIs | |

Publication status | Published - Jun 1996 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**On unitary representations of the exceptional non-linear N=7 and N=8 superconformai algebras in terms of free fields.** / Ketov, S. V.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - On unitary representations of the exceptional non-linear N=7 and N=8 superconformai algebras in terms of free fields

AU - Ketov, S. V.

PY - 1996/6

Y1 - 1996/6

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=16144367874&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=16144367874&partnerID=8YFLogxK

U2 - 10.1016/0920-5632(96)00330-1

DO - 10.1016/0920-5632(96)00330-1

M3 - Article

AN - SCOPUS:16144367874

VL - 49

SP - 156

EP - 160

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

SN - 0920-5632

IS - 1-3

ER -