Extended conformal symmetry of the one-dimensional Bose gas

Details Extended conformal symmetry of the one-dimensional Bose gas Extended conformal symmetry of the one-dimensional Bose gas

1997-05-14

arxiv.org/abs/hep-th/9705097v1

Mod.Phys.Lett. A12 (1997) 2153-2160

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, plain LaTeX, no figures

Scientific paper

10.1142/S021773239700220X

We show that the low-lying excitations of the one-dimensional Bose gas are described, at all orders in a 1/N expansion and at the first order in the inverse of the coupling constant, by an effective hamiltonian written in terms of an extended conformal algebra, namely the Cartan subalgebra of the $W_{1+\infty}\times \bar{W}_{1+\infty}$ algebra. This enables us to construct the first interaction term which corrects the hamiltonian of free fermions equivalent to a hard-core boson system.

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