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

Moutsopoulos George

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

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We show how, by assuming at least eight 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. These are solvable in terms of two meromorphic functions, and we present a novel and interesting large class of quarter-supersymmetric backgrounds. We also show that there are no solutions that preserve only six or seven 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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《Physical review, D》 |2016年第2期|共11页
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Moutsopoulos George;
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Bogazici Univ, Dept Math, TR-34342 Istanbul, Turkey;

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正文语种英语
中图分类粒子物理学;场论;
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Quarter-BPS solutions in three-dimensional N=16 supergravity and the Liouville equation

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