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Solitons in a Grassmannian sigma-model Coupled to Chern-Simons Term

Jin-Ho Cho·Phillial Oh·Jeong-Hyuck Park
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Abstract

We propose an exactly solvable Grassmannian sigma-model coupled to the Chern-Simons theory. In the presence of a novel topological term our model admits exact self-dual vortex solutions which are identical to those of pure Grassmannian model, but the topological charge has a physical meaning as a magnetic flux since the gauge field is no longer auxiliary. We also extend the theory to a noncommutative plane and analyze the BPS solutions.

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Jin-Ho Cho, Phillial Oh, Jeong-Hyuck Park. 2002-05-07. Solitons in a Grassmannian sigma-model Coupled to Chern-Simons Term. https://doi.org/10.1103/physrevd.66.025022

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