A Note on Infinite Symmetries of a Free Scalar on AdS Backgrounds and the Breitenlohner-Freedman Bound

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Withdrawn due to an incorrect argument in section 3. A revised version may be submitted at a later date

Scientific paper

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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