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3
questions
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If principle $SU(N)$ bundles on 3-manifolds are trivial, how can there be magnetic monopoles?
Magnetic monopoles are solitons, i.e. field configurations on space (which is 3 dimensional). In pure $SU(N)$ gauge theory, magnetic monopoles can be constructed via 't Hooft's abelian projection (...
- 742
2
votes
1
answer
162
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Left-right topology
Are there non-trivial topological solutions (in particular 't Hooft-Polyakov magnetic monopoles) associated with the (local) breaking
\begin{equation}
SU(2)_R \times SU(2)_L \times U(1)_{B-L} \to SU(...
- 681
2
votes
1
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78
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Question from Terning's book
In Chapter 7 of Terning's book (Modern Supersymmetry), the first example considered is that of an $SO(3)$ gauge theory, a complex scalar in the triplet representation of $SO(3)$ and a potential term:
$...
- 2,095