All $$ \mathcal{N} $$ = (8, 0) AdS3 solutions in 10 and 11 dimensions
Andrea Legramandi, Gabriele Lo Monaco, Niall T. Macpherson
Abstract
A bstract We classify AdS 3 solutions preserving $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (8 , 0) supersymmetry in ten and eleven dimensions and find the local form of each of them. These include the AdS 3 ×S 6 solution of [1] and the embeddings of AdS 3 into AdS 4 ×S 7 , AdS 5 ×S 5 , AdS 7 / ℤ k ×S 4 and its IIA reduction within AdS 7 . More interestingly we find solutions preserving the superconformal algebras $$ {\mathfrak{f}}_4,\mathfrak{su}\left(1,1|4\right),\mathfrak{osp}\left({4}^{\ast }|4\right) $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>f</mml:mi> <mml:mn>4</mml:mn> </mml:msub> <mml:mo>,</mml:mo> <mml:mi>su</mml:mi> <mml:mfenced> <mml:mn>1</mml:mn> <mml:mn>1</mml:mn> <mml:mn>4</mml:mn> </mml:mfenced> <mml:mo>,</mml:mo> <mml:mi>osp</mml:mi> <mml:mfenced> <mml:msup> <mml:mn>4</mml:mn> <mml:mo>∗</mml:mo> </mml:msup> <mml:mn>4</mml:mn> </mml:mfenced> </mml:math> on certain squashings of the 7-sphere. These solutions asymptote to AdS 4 ×S 7 and are promising candidates for holographic duals to defects in Chern-Simons matter theories.