Conformal anomaly in non-hermitian quantum mechanics
High Energy Physics - Theory
2010-02-02 v1
Abstract
A model of an electron and a Dirac monopole interacting through an axially symmetric non-hermitian but \mathcal{PT}-symmetric potential is discussed in detail. The intriguing localization of the wave-packet as a result of the anomalous breaking of the scale symmetry is shown to provide a scale for the system. The symmetry algebra for the system, which is the conformal algebra SO(2,1), is discussed and is shown to belong to the enveloping algebra of the combined algebra, composed of the Virosoro algebra, \{L_n, n\in \mathbb{N}\} and an abelian algebra, \{P_n,n\in \mathbb{N}\}.
Cite
@article{arxiv.0805.2827,
title = {Conformal anomaly in non-hermitian quantum mechanics},
author = {Pulak Ranjan Giri},
journal= {arXiv preprint arXiv:0805.2827},
year = {2010}
}
Comments
4 pages, No figure