Higher Symmetries of the Laplacian

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages

Scientific paper

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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