Research output: Contribution to journal › Article

S. Beck, U. Gran, J. Gutowski, G. Papadopoulos

Original language | English |
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Article number | 47 |

Journal | Journal of High Energy Physics |

Volume | 2018 |

Issue number | 12 |

DOIs | |

Published | 10 Dec 2018 |

Additional links |

We present all the symmetry superalgebras g of all warped AdS_{k} ×_{w}M^{d − k}, k > 2, flux backgrounds in d = 10, 11 dimensions preserving any number of supersymmetries. First we give the conditions for g to decompose into a direct sum of the isometry algebra of AdS_{k} and that of the internal space M^{d − k}. Assuming this decomposition, we identify all symmetry superalgebras of AdS_{3} backgrounds by showing that the isometry groups of internal spaces act transitively on spheres. We demonstrate that in type II and d = 11 theories the AdS_{3} symmetry superalgebras may not be simple and also present all symmetry superalgebras of heterotic AdS_{3} backgrounds. Furthermore, we explicitly give the symmetry superalgebras of AdS_{k}, k > 3, backgrounds and prove that they are all classical.

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