Nonrelativistic conformal field theories

Details Nonrelativistic conformal field theories Nonrelativistic conformal field theories

2007-06-26

arxiv.org/abs/0706.3746v2

Phys.Rev.D76:086004,2007

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 9 figures; added a comment on the convergence of epsilon expansions

Scientific paper

10.1103/PhysRevD.76.086004

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.

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