Chern-Simons gauged sigma model into H 2 and its self-dual equations

초록

We propose the Chern-Simons gauged sigma model from R 1+2 into the hyperbolic plane H 2 . We seek a static configuration of this model and derive self-dual equations. We also establish some existence results for solutions of the self-dual equations under appropriate boundary conditions near ∞. © 2019 American Institute of Mathematical Sciences. All rights reserved.

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