2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/186410We 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.26 pages, 9 figures; added a comment on the convergence of epsilon expansionsHigh Energy Physics - TheoryOther Condensed MatterHigh Energy Physics - Phenomenologytext