Comment on ``Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases"

We comment on the work of Fischer, Phys. Rev. Lett. 93, 160403 (2004). Contrary to the claim in the letter, we argue that the anyonic excitation statistics does not play any dynamical role in stabilizing attractive bose gases under rapid rotation in a fractional quantum Hall state. We also point out that the assertion of obtaining exact solutions of the self-dual equation that saturates the Bogomol'nyi bound is invalid for non-zero external field.Comment: 2 pages, no figure(v1); Version to appear in Physical Review Letters, re-written the last sentence of the third paragraph(v2