English

Higher Symmetries of the Laplacian

High Energy Physics - Theory 2008-11-26 v1 Differential Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0206233,
  title  = {Higher Symmetries of the Laplacian},
  author = {Michael Eastwood},
  journal= {arXiv preprint arXiv:hep-th/0206233},
  year   = {2008}
}

Comments

20 pages