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Classification, geometry and applications of supersymmetric backgrounds

Gran, U., Gutowski, J. and Papadopoulos, G. (2019) Classification, geometry and applications of supersymmetric backgrounds Physics Reports, 794. pp. 1-87.

Classification, geometry and applications of supersymmetric backgrounds.pdf - Accepted version Manuscript

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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.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Gran, U.
Papadopoulos, G.
Date : 3 March 2019
DOI : 10.1016/j.physrep.2018.11.005
Copyright Disclaimer : © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Depositing User : Clive Harris
Date Deposited : 25 Feb 2019 14:32
Last Modified : 12 Dec 2020 02:08

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