Classification, geometry and applications of supersymmetric backgrounds
Reviewartikel, 2019

We review the remarkable progress that has been made the last 15 years towards the classification of supersymmetric solutions with emphasis on the description of the bilinears and spinorial geometry methods. We describe in detail the geometry of backgrounds of key supergravity theories, which have applications in the context of black holes, string theory, M-theory and the AdS/CFT correspondence unveiling a plethora of existence and uniqueness theorems. Some other aspects of supersymmetric solutions like the Killing superalgebras and the homogeneity theorem are also presented, and the non-existence theorem for certain smooth supergravity flux compactifications is outlined. Amongst the applications described is the proof of the emergence of conformal symmetry near black hole horizons and the classification of warped AdS backgrounds that preserve more than 16 supersymmetries.


Ulf Gran

Chalmers, Fysik, Teoretisk fysik

Jan Gutowski

University of Surrey

George Papadopoulos

King's College London

Physics Reports

0370-1573 (ISSN)

Vol. 11 5 1-87

Tillämpad strängteori - holografiska metoder för starkt kopplade system

Vetenskapsrådet (VR) (2015-04368), 2016-01-01 -- 2019-12-31.


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