All Killing superalgebras for warped AdS backgrounds
| Autor: | Ulf Gran, George Papadopoulos, Samuel Beck, Jan B. Gutowski |
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| Rok vydání: | 2018 |
| Předmět: |
High Energy Physics - Theory
Heterotic string theory Physics Nuclear and High Energy Physics Pure mathematics 010308 nuclear & particles physics Direct sum Internal space Space-Time Symmetries Superstring Vacua FOS: Physical sciences 01 natural sciences High Energy Physics - Theory (hep-th) Simple (abstract algebra) Flux compactifications 0103 physical sciences Isometry lcsh:QC770-798 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Algebra over a field Symmetry (geometry) Mathematics::Representation Theory 010306 general physics Supergravity Models Supersymmetry algebra |
| Zdroj: | Journal of High Energy Physics, Vol 2018, Iss 12, Pp 1-43 (2018) Journal of High Energy Physics |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/jhep12(2018)047 |
| Popis: | We present all the symmetry superalgebras $\mathfrak{g}$ of all warped AdS$_k\times_w M^{d-k}$, $k>2$, flux backgrounds in $d=10, 11$ dimensions preserving any number of supersymmetries. First we give the conditions for $\mathfrak{g}$ 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. 41 pages, latex |
| Databáze: | OpenAIRE |
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