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arXiv · 1709.07659

Cohomogeneity-one-string integrability of spacetimes

Yoshiyuki Morisawa·Soichi Hasegawa·Tatsuhiko Koike·Hideki Ishihara
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Abstract

We present a framework for reducing all possible cohomogeneity-one strings, i.e., strings with geometrical symmetry, in a given spacetime to mechanical systems, and for analyzing integrability of the systems. As applications, it is clarified whether the systems of cohomogeneity-one strings in $AdS_5$, $AdS_5 \times S^5$, and $AdS_5 \times T^{p,q}$ are integrable or not. This method may reveal a different type of hidden symmetry of spacetimes.

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Yoshiyuki Morisawa, Soichi Hasegawa, Tatsuhiko Koike, Hideki Ishihara. 2017-09-22. Cohomogeneity-one-string integrability of spacetimes. https://arxiv.org/abs/1709.07659

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