All Killing superalgebras for warped AdS backgrounds

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

doi:10.1007/JHEP12(2018)047

All Killing superalgebras for warped AdS backgrounds

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

We present all the symmetry superalgebras g of all warped AdS_k ×_wM^{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 AdS₃ 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 AdS₃ symmetry superalgebras may not be simple and also present all symmetry superalgebras of heterotic AdS₃ backgrounds. Furthermore, we explicitly give the symmetry superalgebras of AdS_k, k > 3, backgrounds and prove that they are all classical.

Original language	English
Article number	47
Journal	Journal of High Energy Physics
Volume	2018
Issue number	12
DOIs	https://doi.org/10.1007/JHEP12(2018)047
Publication status	Published - 10 Dec 2018

Keywords

Flux compactifications
Space-Time Symmetries
Supergravity Models
Superstring Vacua

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10.1007/JHEP12(2018)047

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abstract = "We present all the symmetry superalgebras g of all warped AdSk ×wMd − 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 AdSk and that of the internal space Md − k. Assuming this decomposition, we identify all symmetry superalgebras of AdS3 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 AdS3 symmetry superalgebras may not be simple and also present all symmetry superalgebras of heterotic AdS3 backgrounds. Furthermore, we explicitly give the symmetry superalgebras of AdSk, k > 3, backgrounds and prove that they are all classical.",

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AU - Gran, U.

AU - Gutowski, J.

AU - Papadopoulos, G.

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N2 - We present all the symmetry superalgebras g of all warped AdSk ×wMd − 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 AdSk and that of the internal space Md − k. Assuming this decomposition, we identify all symmetry superalgebras of AdS3 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 AdS3 symmetry superalgebras may not be simple and also present all symmetry superalgebras of heterotic AdS3 backgrounds. Furthermore, we explicitly give the symmetry superalgebras of AdSk, k > 3, backgrounds and prove that they are all classical.

AB - We present all the symmetry superalgebras g of all warped AdSk ×wMd − 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 AdSk and that of the internal space Md − k. Assuming this decomposition, we identify all symmetry superalgebras of AdS3 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 AdS3 symmetry superalgebras may not be simple and also present all symmetry superalgebras of heterotic AdS3 backgrounds. Furthermore, we explicitly give the symmetry superalgebras of AdSk, k > 3, backgrounds and prove that they are all classical.

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KW - Space-Time Symmetries

KW - Supergravity Models

KW - Superstring Vacua

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All Killing superalgebras for warped AdS backgrounds

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