Nonrelativistic conformal field theories
High Energy Physics - Theory
2008-11-26 v2 Other Condensed Matter
High Energy Physics - Phenomenology
Abstract
We study representations of the Schr\"odinger algebra in terms of operators in nonrelativistic conformal field theories. We prove a correspondence between primary operators and eigenstates of few-body systems in a harmonic potential. Using the correspondence we compute analytically the energy of fermions at unitarity in a harmonic potential near two and four spatial dimensions. We also compute the energy of anyons in a harmonic potential near the bosonic and fermionic limits.
Cite
@article{arxiv.0706.3746,
title = {Nonrelativistic conformal field theories},
author = {Yusuke Nishida and Dam T. Son},
journal= {arXiv preprint arXiv:0706.3746},
year = {2008}
}