Classification of supersymmetric backgrounds of string theory
U. Gran, J. Gutowski, G. Papadopoulos, D. Roest
TL;DR
This paper reviews recent advances in classifying supersymmetric solutions in string theory, focusing on IIB supergravity, using spinorial geometry methods to identify maximally supersymmetric backgrounds and prove the non-existence of certain solutions.
Contribution
It adapts the spinorial geometry method to nearly maximally supersymmetric backgrounds and classifies maximally supersymmetric IIB solutions, establishing the non-existence of N=31 solutions.
Findings
Classified maximally supersymmetric IIB backgrounds.
Demonstrated N=31 IIB solutions do not exist.
Showcased effectiveness of spinorial geometry method.
Abstract
We review the recent progress made towards the classification of supersymmetric solutions in ten and eleven dimensions with emphasis on those of IIB supergravity. In particular, the spinorial geometry method is outlined and adapted to nearly maximally supersymmetric backgrounds. We then demonstrate its effectiveness by classifying the maximally supersymmetric IIB G-backgrounds and by showing that N=31 IIB solutions do not exist.
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