### New Gaugings and Non-Geometry

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1506.03457v1.pdf | Accepted version | 474.13 kB | Adobe PDF | View/Open |

Title: | New Gaugings and Non-Geometry |

Authors: | Lee, K Strickland-Constable, C Waldram, D |

Item Type: | Journal Article |

Abstract: | We discuss the possible realisation in string/M theory of the recently discovered family of four-dimensional maximal math formula gauged supergravities, and of an analogous family of seven-dimensional half-maximal math formula gauged supergravities. We first prove a no-go theorem that neither class of gaugings can be realised via a compactification that is locally described by ten- or eleven-dimensional supergravity. In the language of Double Field Theory and its M theory analogue, this implies that the section condition must be violated. Introducing the minimal number of additional coordinates possible, we then show that the standard S3 and S7 compactifications of ten- and eleven-dimensional supergravity admit a new class of section-violating generalised frames with a generalised Lie derivative algebra that reproduces the embedding tensor of the math formula and math formula gaugings respectively. The physical meaning, if any, of these constructions is unclear. They highlight a number of the issues that arise when attempting to apply the formalism of Double Field Theory to non-toroidal backgrounds. Using a naive brane charge quantisation to determine the periodicities of the additional coordinates restricts the math formula gaugings to an infinite discrete set and excludes all the math formula gaugings other than the standard one. |

Issue Date: | 21-Jul-2017 |

Date of Acceptance: | 19-Jul-2017 |

URI: | http://hdl.handle.net/10044/1/56872 |

DOI: | https://dx.doi.org/10.1002/prop.201700049 |

ISSN: | 0015-8208 |

Publisher: | Wiley-VCH Verlag |

Journal / Book Title: | Fortschritte der Physik / Progress of Physics |

Volume: | 65 |

Issue: | 10-11 |

Copyright Statement: | © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. K. Lee, C. Strickland-Constable, D. Waldram, Fortschr. Phys. 2017, 65, 1700049. |

Keywords: | Science & Technology Physical Sciences Physics, Multidisciplinary Physics String theory Generalised geometry Non geometric backgrounds Gauged supergravity Double field theory DOUBLE FIELD-THEORY DUALITY SUPERGRAVITIES hep-th 01 Mathematical Sciences 02 Physical Sciences Nuclear & Particles Physics |

Publication Status: | Published |

Article Number: | 1700049 |

Appears in Collections: | Physics Theoretical Physics Faculty of Natural Sciences |