Integrable systems from supergravity BPS equations

Details Integrable systems from supergravity BPS equations Integrable systems from supergravity BPS equations

2008-07-23

arxiv.org/abs/0807.3728v1

JHEP 0809:111,2008

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

10.1088/1126-6708/2008/09/111

Integrable systems of the sine-Gordon/Liouville type, which arise from reducing the BPS equations for solutions invariant under 16 supersymmetries in Type IIB supergravity and M-theory, are shown to be special cases of an infinite family of integrable systems, parametrized by an arbitrary real function $f$ of a real variable. It is shown that, for each function $f$, this generalized integrable system may be mapped onto a system of linear equations, which in turn may be integrated in terms of the two linearly independent solutions of an ordinary linear second order differential equation which depends only on the function $f$.

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