### Resumen

We formulate four-dimensional higher spin gauge theories in spacetimes with signature (4 - p, p) and non-vanishing cosmological constant. Among them are chiral models in Euclidean (4, 0) and Kleinian (2, 2) signature involving half-flat gauge fields. Apart from the maximally symmetric solutions, including de Sitter spacetime, we find: (a) SO (4 - p, p) invariant deformations, depending on one continuous and infinitely many discrete parameters, including a degenerate metric of rank one; (b) non-maximally symmetric solutions with vanishing Weyl tensors and higher spin gauge fields, that differ from the maximally symmetric solutions in the auxiliary field sector; and (c) solutions of the chiral models furnishing higher spin generalizations of type D gravitational instantons, with an infinite tower of Weyl tensors proportional to totally symmetric products of two principal spinors. These are apparently the first exact 4D solutions with non-vanishing massless higher spin fields.

Idioma original | English |
---|---|

Páginas (desde-hasta) | 231-264 |

Número de páginas | 34 |

Publicación | Nuclear Physics B |

Volumen | 791 |

N.º | 3 |

DOI | |

Estado | Published - 3 nov 2008 |

### Huella dactilar

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Citar esto

*Nuclear Physics B*,

*791*(3), 231-264. https://doi.org/10.1016/j.nuclphysb.2007.08.002

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*Nuclear Physics B*, vol. 791, n.º 3, pp. 231-264. https://doi.org/10.1016/j.nuclphysb.2007.08.002

**Real forms of complex higher spin field equations and new exact solutions.** / Iazeolla, Carlo; Sezgin, Ergin; Sundell, Per.

Resultado de la investigación: Article

TY - JOUR

T1 - Real forms of complex higher spin field equations and new exact solutions

AU - Iazeolla, Carlo

AU - Sezgin, Ergin

AU - Sundell, Per

PY - 2008/11/3

Y1 - 2008/11/3

N2 - We formulate four-dimensional higher spin gauge theories in spacetimes with signature (4 - p, p) and non-vanishing cosmological constant. Among them are chiral models in Euclidean (4, 0) and Kleinian (2, 2) signature involving half-flat gauge fields. Apart from the maximally symmetric solutions, including de Sitter spacetime, we find: (a) SO (4 - p, p) invariant deformations, depending on one continuous and infinitely many discrete parameters, including a degenerate metric of rank one; (b) non-maximally symmetric solutions with vanishing Weyl tensors and higher spin gauge fields, that differ from the maximally symmetric solutions in the auxiliary field sector; and (c) solutions of the chiral models furnishing higher spin generalizations of type D gravitational instantons, with an infinite tower of Weyl tensors proportional to totally symmetric products of two principal spinors. These are apparently the first exact 4D solutions with non-vanishing massless higher spin fields.

AB - We formulate four-dimensional higher spin gauge theories in spacetimes with signature (4 - p, p) and non-vanishing cosmological constant. Among them are chiral models in Euclidean (4, 0) and Kleinian (2, 2) signature involving half-flat gauge fields. Apart from the maximally symmetric solutions, including de Sitter spacetime, we find: (a) SO (4 - p, p) invariant deformations, depending on one continuous and infinitely many discrete parameters, including a degenerate metric of rank one; (b) non-maximally symmetric solutions with vanishing Weyl tensors and higher spin gauge fields, that differ from the maximally symmetric solutions in the auxiliary field sector; and (c) solutions of the chiral models furnishing higher spin generalizations of type D gravitational instantons, with an infinite tower of Weyl tensors proportional to totally symmetric products of two principal spinors. These are apparently the first exact 4D solutions with non-vanishing massless higher spin fields.

UR - http://www.scopus.com/inward/record.url?scp=36549010401&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2007.08.002

DO - 10.1016/j.nuclphysb.2007.08.002

M3 - Article

VL - 791

SP - 231

EP - 264

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -