A Note on Infinite Symmetries of a Free Scalar on AdS Backgrounds and the Breitenlohner-Freedman Bound
Abstract
We construct infinite dimensional symmetries of a complex, free scalar field on curved space-times generated by isometries of the space-time. We use the Anti de-Sitter backgrounds as an example and check that the boundary terms appearing in the Noether current satisfy the requirement of Noether's theorem that they vanish at the boundary.
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