### 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 | Inglés |
---|---|

Páginas (desde-hasta) | 231-264 |

Número de páginas | 34 |

Publicación | Nuclear Physics B |

Volumen | 791 |

N.º | 3 |

DOI | |

Estado | Publicada - 3 nov 2008 |

### Huella digital

### Áreas temáticas de ASJC Scopus

- Física nuclear y de alta energía

### Citar esto

*Nuclear Physics B*,

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