### Resumen

We construct the minimal bosonic higher spin extension of the 7D AdS algebra SO(6, 2), which we call hs(8*). The generators, which have spin s = 1, 3, 5,..., are realized as monomials in Grassmann even spinor oscillators. Irreducibility, in the form of tracelessness, is achieved by modding out an infinite-dimensional ideal containing the traces. In this a key role is played by the tree bilinear traces which form an SU(2)_{K} algebra. We show that gauging of hs(8*) yields a spectrum of physical fields with spin s = 0, 2, 4,... which make up a UIR of hs(8*) isomorphic to the symmetric tensor product of two 6D scalar doubletons. The scalar doubleton is the unique SU(2)_{K} invariant 6D doubleton. The spin s ≥ 2 sector comes from an hs(8*)-valued one-form which also contains the auxiliary gauge fields required for writing the curvature constraints in covariant form. The physical spin s = 0 field arises in a separate zero-form in a 'quasi-adjoint' representation of hs(8*). This zero-form also contains the spin s ≥ 2 Weyl tensors, i.e., the curvatures which are non-vanishing on-shell. We suggest that the hs(8*) gauge theory describes the minimal bosonic, massless truncation of M-theory on AdS_{7} × S^{4} in an unbroken phase where the holographic dual is given by N free (2, 0) tensor multiplets for large N.

Idioma original | Inglés |
---|---|

Páginas (desde-hasta) | 120-140 |

Número de páginas | 21 |

Publicación | Nuclear Physics B |

Volumen | 634 |

N.º | 1-2 |

DOI | |

Estado | Publicada - 8 jul 2002 |

### Áreas temáticas de ASJC Scopus

- Física nuclear y de alta energía

## Huella Profundice en los temas de investigación de '7D bosonic higher spin gauge theory: Symmetry algebra and linearized constraints'. En conjunto forman una huella única.

## Citar esto

*Nuclear Physics B*,

*634*(1-2), 120-140. https://doi.org/10.1016/S0550-3213(02)00299-7