Self-dual Chern–Simons vortices on Riemann surfaces

2000/12/27 by Seongtag Kim, Yoonbai Kim · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Compact Riemann surface #Field theory (psychology) #Geometry and complex manifolds #Higgs boson #Homotopy and Cohomology in Algebraic Topology #Property (philosophy) #Riemann hypothesis #Riemann surface #Surface (topology) #Vortex #math-ph #math.MP

paper · pdf · doi:10.1063/1.1471365

published as J.Math.Phys. 43 (2002) 2355-2362 · 11 pages, LaTeX

arxiv created 2000/12/27 · openalex publication_date 2002/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study self-dual multivortex solutions of Chern–Simons Higgs theory in a background curved space–time. The existence and decaying property of a solution are demonstrated.

Citations

• Self-dual Chern-Simons solitons in (2 + 1)-dimensional Einstein gravity

Cited by

• Chern–Simons theory [wikipedia]