Abstract
To study circularly symmetric field configurations in the SU(2) Hitchin system an SO(2) symmetry, [J_3, ϕ]=0 and [J_3, A_{\pm}]=\pm A_{\pm}, is imposed on the Higgs scalar ϕand the gauge fields A_{\pm} of the system, respectively, where J_3 is a sum of the third components of the orbital angular momenta and the generators of the SU(2). The circular symmetry and the equation \bar{D}ϕ=0 yield onstant, generally nonzero, vacuum expectation values for {\rm Tr}(ϕ^{2}). The equation 4F_{z\bar{z}}=[ϕ, ϕ^{*}] yields a system of differential equations which govern the circularly symmetric field configurations and an exact solution to these equations in a pure gauge form with nontrivial Higgs scalar is obtained.
Connections
Explore this paper’s authors, topics and related work.
Building this map preview
BZPEER is loading the nearby papers, people, topics and institutions for this page.
Reviews 0
Write a review
No reviews yet.
Discussion 0
Add a comment
No comments yet.