Phys. Rev. D 76, 086004 (2007) [14 pages]Nonrelativistic conformal field theoriesReceived 2 July 2007; published 26 October 2007 We study representations of the Schrödinger 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.76.086004
DOI:
10.1103/PhysRevD.76.086004
PACS:
11.25.Hf, 05.30.Fk, 05.30.Pr
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