3
votes
1answer
101 views

electric, magnetic and level quantization for a SU(N), SO(N) and a compact U(1) Chern-Simons theory

Imagine three different worlds describe by three theories (I), (II), (III). Theory (I) - compact U(1) Chern-Simons: A compact U(1) Chern-Simons theory with magnetic monopole charges $m_1$. ...
1
vote
1answer
122 views

Relation between electric charge and gauge parameter of the moduli space of monopoles

I am studying about the moduli space of a 2 monopole system from Harvey's notes, and Manton's paper. In both of these, (Harvey section 6.2), after constructing the Lagrangian for a two dyons system, ...
3
votes
1answer
208 views

Using the covariant derivative to find force between 't Hooft-Polyakov magnetic monopoles

I am reading this research paper authored by NS Manton on the Force between 't Hooft-Polyakov monopoles. I have a doubt in equation 3.6 and 3.7. We assume the gauge field for a slowly accelerating ...
1
vote
0answers
66 views

Limit of the scalar field, and potential for a soliton ( finite energy, non dissipative) solution

I want to prove that the the scalar field of the yang-mills lagrangian tends to some constant value which is a function of theta at infinity and that this value is a zero of the potential, when we ...
1
vote
1answer
213 views

What is the winding number of a magnetic monopole, and why is it conserved

I had asked a similar question about a calculation involving the winding number here. But i haven't got a satisfactory response. So, I am rephrasing this question in a slightly different manner. What ...