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arXiv · hep-th/0105127

Noncommutative field theory description of quantum Hall skyrmions

Bum-Hoon Lee·Kyungsun Moon·Chaiho Rim
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Abstract

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 $ν=1$. 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 $σ$ model Lagrangian.

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Bum-Hoon Lee, Kyungsun Moon, Chaiho Rim. 2001-06-23. Noncommutative field theory description of quantum Hall skyrmions. https://doi.org/10.1103/physrevd.64.085014

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