
We revisit the quantum Hall system with no Zeeman splitting energy using the noncommutative field theory. We analyze the BPS condition for the delta-function interaction near the filling factor $��=1$. Multi-skyrmions are shown to saturate the BPS bounds. The dimension of the moduli space of $k$ skyrmions is $4k+2$. Advantage of the noncommutative field description is demonstrated through the derivation of the effective nonlinear $��$ model Lagrangian.
23 pages, Revtex, more references added in
High Energy Physics - Theory, Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory (hep-th), Strongly Correlated Electrons (cond-mat.str-el), FOS: Physical sciences
High Energy Physics - Theory, Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory (hep-th), Strongly Correlated Electrons (cond-mat.str-el), FOS: Physical sciences
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