Quantization of AdS x S particle in static gauge
High Energy Physics - Theory
2015-06-11 v2
Abstract
We quantize the particle dynamics in AdS_{N+1} x S^M spacetime in static gauge, which leads to the coordinate representation with wave functions depending only on spatial coordinates. The energy square operator is quadratic in canonical momenta and contains a scalar curvature term. We analyze the self-adjointness of this operator and calculate its spectrum. We then construct unitary representations of the isometry group SO(2,N) x SO(M+1) and calculate the quantum relation between the Casimir numbers.
Keywords
Cite
@article{arxiv.1208.3833,
title = {Quantization of AdS x S particle in static gauge},
author = {George Jorjadze and Chrysostomos Kalousios and Zurab Kepuladze},
journal= {arXiv preprint arXiv:1208.3833},
year = {2015}
}
Comments
12 pages, 1 figure, v2: a discussion section and references added, typos corrected, published version