An $xp$ model on $AdS_2$ spacetime
High Energy Physics - Theory
2013-11-05 v4 Mathematical Physics
math.MP
Quantum Physics
Abstract
In this paper we formulate the model on the AdS spacetime. We find that the spectrum of the Hamiltonian has positive and negative eigenvalues, whose absolute values are given by a harmonic oscillator spectrum, which in turn coincides with that of a massive Dirac fermion in AdS. We extend this result to generic models which are shown to be equivalent to a massive Dirac fermion on spacetimes whose metric depend of the Hamiltonian. Finally, we construct the generators of the isometry group SO(2,1) of the AdS spacetime, and discuss the relation with conformal quantum mechanics.
Cite
@article{arxiv.1212.2436,
title = {An $xp$ model on $AdS_2$ spacetime},
author = {Javier Molina-Vilaplana and Germán Sierra},
journal= {arXiv preprint arXiv:1212.2436},
year = {2013}
}
Comments
24 pages, 1 figure, some comments and new references added