Higher Symmetries of the Laplacian

Michael Eastwood

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classification ✦ hep-th math.DG

keywords algebraconformallaplaciansymmetriesanaloguesconstructcorrespondenceenveloping

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Using the AdS/CFT correspondence, we identify the symmetry algebra of the Laplacian on Euclidean space as an explicit quotient of the universal enveloping algebra of the Lie algebra of conformal motions. We construct analogues of these symmetries on a general conformal manifold.

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