All Killing Superalgebras for Warped AdS Backgrounds
Preprint, 2017

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 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.

Författare

Sam Beck

Ulf Gran

Chalmers, Fysik, Teoretisk fysik

Jan Gutowski

George Papadopoulos

Ämneskategorier

Subatomär fysik

Annan fysik

Fundament

Grundläggande vetenskaper