Vortex solutions of the Liouville equation
نویسنده
چکیده
The most general vortex solution of the Liouville equation (which arises in nonrelativistic Chern-Simons theory) is associated with rational functions, f(z) = P (z)/Q(z) where P (z) and Q(z) are both polynomials, degP < degQ ≡ N . This allows us to prove that the solution depends on 4N parameters without the use of an index theorem, as well as the flux quantization : Φ = −4Nπ(sign κ).
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تاریخ انتشار 1998