English

AdS_2/CFT_1, Canonical Transformations and Superconformal Mechanics

High Energy Physics - Theory 2009-02-23 v2

Abstract

We propose a simple conformal mechanics model which is classically equivalent to a charged massive particle propagating near the AdS_2\times S^2 horizon of an extreme Reissner-Nordstr\"om black hole. The equivalence holds for any finite value of the black hole mass and with both the radial and angular degrees of freedom of the particle taken into account. It is ensured by the existence of a canonical transformation in the Hamiltonian formalism. Using this transformation, we construct the Hamiltonian of a N=4 superparticle on AdS_2\times S^2 background.

Keywords

Cite

@article{arxiv.hep-th/0212204,
  title  = {AdS_2/CFT_1, Canonical Transformations and Superconformal Mechanics},
  author = {S. Bellucci and A. Galajinsky and E. Ivanov and S. Krivonos},
  journal= {arXiv preprint arXiv:hep-th/0212204},
  year   = {2009}
}

Comments

10 pages, LaTeX