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arXiv · 1506.07738

Killing sections and sigma models with Lie algebroid targets

Andrew James Bruce
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Abstract

We define and examine the notion of a Killing section of a Riemannian Lie algebroid as a natural generalisation of a Killing vector field. We show that the various expression for a vector field to be Killing naturally generalise to the setting of Lie algebroids. As an application we examine the internal symmetries of a class of sigma models for which the target space is a Riemannian Lie algebroid. Critical points of these sigma models are interpreted as generalised harmonic maps.

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BibTeXRIS

Andrew James Bruce. 2015-06-25. Killing sections and sigma models with Lie algebroid targets. https://doi.org/10.1016/s0034-4877(16)30046-5

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