An exact correspondence between Quantum Hall Skyrmions and non linear $\sigma$-models

Abstract

We show that the ground states of spin-fermions interacting by a delta repulsive potential in a strong magnetic field can be put in one to one correspondence with the solitons of the $S_2$ non linear $\sigma$-model.

reference added latex sigma.tex, 1 file, 5 pages [SPhT-T00/177], submitted to Phys. Lett. B

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