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The Existence of Non-Topological Multivortex Solutions in the Relativistic Self-Dual Chern–Simons Theory

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Abstract:

We construct a general type of multivortex solutions of the self-duality equations (the Bogomol'nyi equations) of (2+1) dimensional relativistic Chern–Simons model with the non-topological boundary condition near infinity. For such construction we use a perturbation argument around the explicit solutions of the Liouville equation.

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Authors and Affiliations

  1. Department of Mathematics, Seoul National University, Seoul 151-742, Korea.¶E-mail: dhchae@math.snu.ac.kr, , , , , , KR

    Dongho Chae

  2. Department of Mathematics, Iowa State University, Ames, IA 50011, USA.¶E-mail: vika@iastate.edu, , , , , , US

    Oleg Yu. Imanuvilov

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  1. Dongho Chae
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  2. Oleg Yu. Imanuvilov
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Received: 6 July 1999 / Accepted: 14 June 2000

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Chae, D., Imanuvilov, O. The Existence of Non-Topological Multivortex Solutions in the Relativistic Self-Dual Chern–Simons Theory. Commun. Math. Phys. 215, 119–142 (2000). https://doi.org/10.1007/s002200000302

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  • DOI: https://doi.org/10.1007/s002200000302

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