Yangian-Like Symmetry of Probe-Brane Actions

doi:https://doi.org/10.48550/arxiv.1311.6067

Open AccessPreprint10.48550/arxiv.1311.6067

Yangian-Like Symmetry of Probe-Brane Actions

Arthur Lipstein,John H. Schwarz-2013-11-24-arXiv (Cornell University)

TL;DRAbstract

We demonstrate that world-volume actions describing probe branes in anti de Sitter space have an infinite-dimensional symmetry algebra that is reminiscent of Yangian symmetry. Two essential ingredients are responsible for this symmetry. The first is an inversion symmetry of anti de Sitter space. The second is the compensating gauge transformations that are required to properly describe global symmetries after gauge fixing the general coordinate invariance.

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We demonstrate that world-volume actions describing probe branes in anti de Sitter space have an infinite-dimensional symmetry algebra that is reminiscent of Yangian symmetry. Two essential ingredients are responsible for this symmetry. The first is an inversion symmetry of anti de Sitter space. The second is the compensating gauge transformations that are required to properly describe global symmetries after gauge fixing the general coordinate invariance.

Keywords

YangianSymmetry (geometry)Homogeneous spacePhysicsGlobal symmetryDe Sitter spaceGauge theoryAnti-de Sitter space

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