### Abstract

By introducing a variable lightlike vector k^{μ} the light-cone gauge algebra of the bosonic string oscillators is rewritten in an apparently covariant form and it is shown that the apparent covariance becomes true covariance if, and only if, the parameters take the usual critical values. In particular it is shown that the k-independence of physical quantities is equivalent to the usual closure of the Lorentz group for fixed k^{μ} and also to the zero-curvature of the light-cone-gauge surface. The connection of the k-formalism with the BRST formalism, and with other aspects of physics, notably spontaneous symmetry breaking mechanisms, is discussed.

Original language | English |
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Pages (from-to) | 281-300 |

Number of pages | 20 |

Journal | Nuclear Physics B |

Volume | 318 |

Issue number | 1 |

DOIs | |

Publication status | Published - May 15 1989 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*318*(1), 281-300. https://doi.org/10.1016/0550-3213(89)90055-2

**Covariant light-cone algebra.** / Balog, J.; O'Raifeartaigh, L.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 318, no. 1, pp. 281-300. https://doi.org/10.1016/0550-3213(89)90055-2

}

TY - JOUR

T1 - Covariant light-cone algebra

AU - Balog, J.

AU - O'Raifeartaigh, L.

PY - 1989/5/15

Y1 - 1989/5/15

N2 - By introducing a variable lightlike vector kμ the light-cone gauge algebra of the bosonic string oscillators is rewritten in an apparently covariant form and it is shown that the apparent covariance becomes true covariance if, and only if, the parameters take the usual critical values. In particular it is shown that the k-independence of physical quantities is equivalent to the usual closure of the Lorentz group for fixed kμ and also to the zero-curvature of the light-cone-gauge surface. The connection of the k-formalism with the BRST formalism, and with other aspects of physics, notably spontaneous symmetry breaking mechanisms, is discussed.

AB - By introducing a variable lightlike vector kμ the light-cone gauge algebra of the bosonic string oscillators is rewritten in an apparently covariant form and it is shown that the apparent covariance becomes true covariance if, and only if, the parameters take the usual critical values. In particular it is shown that the k-independence of physical quantities is equivalent to the usual closure of the Lorentz group for fixed kμ and also to the zero-curvature of the light-cone-gauge surface. The connection of the k-formalism with the BRST formalism, and with other aspects of physics, notably spontaneous symmetry breaking mechanisms, is discussed.

UR - http://www.scopus.com/inward/record.url?scp=45149141777&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=45149141777&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(89)90055-2

DO - 10.1016/0550-3213(89)90055-2

M3 - Article

VL - 318

SP - 281

EP - 300

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1

ER -