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arXiv · 1603.04216

Quarter-BPS solutions in three-dimensional N=16 supergravity and the Liouville equation

George Moutsopoulos
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Abstract

We show how by assuming at least 8 real timelike supersymmetries in the maximally supersymmetric three-dimensional ungauged supergravity and a further simplifying Ansatz, we are naturally led to a pair of Liouville field equations. We also show that there are no solutions that preserve only 6 real timelike supersymmetries. The solution relies on the classification of complex spinors of Spin(8) to which the problem quickly reduces.

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George Moutsopoulos. 2016-03-14. Quarter-BPS solutions in three-dimensional N=16 supergravity and the Liouville equation. https://doi.org/10.1103/physrevd.94.025013

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