SU(N) monopoles and Platonic symmetry

Symmetry Groups of Platonic Solids

Dimensional Reduction, Monopoles and Dynamical Symmetry Breaking

We consider SU(2)-equivariant dimensional reduction of Yang-Mills-Dirac theory on manifolds of the form M × CP , with emphasis on the effects of non-trivial magnetic flux on CP . The reduction of Yang-Mills fields gives a chain of coupled Yang-Mills-Higgs systems on M with a Higgs potential leading to dynamical symmetry breaking, as a consequence of the monopole fields. The reduction of SU(2)-s...

Generalized Dual Symmetry of Nonabelian Theories, Monopoles and Dyons

In the present talk we present an investigation of nonabelian SU(N) gauge theories, describing a system of fields with non–dual g and dual g̃ charges and revealing the generalized dual symmetry. The Zwanziger type action is suggested. The renormalization group equations for pure nonabelian theories, in particular for pure SU(3) × S̃U(3) gauge theory (as an example) are analysed. We consider not o...

QCD Monopoles and Chiral Symmetry Breaking on SU(2) Lattice

Pseudoscalar correlator is measured in a singular (monopole dominant) and a regular (photon dominant) parts of a maximal abelian field on SU(2) lattice. In the abelian field and its singular part, light pseudoscalar boson are observed similar to that in SU(2) field. On the other hand , the correlator in the regular part behaves like a product of free quark and anti-quark. Obtained results give ...

Asymptotic Metrics for Su (n )-monopoles with Maximal Symmetry Breaking

We compute the asymptotic metrics for moduli spaces of SU(N) monopoles with maximal symmetry breaking. These metrics are exponentially close to the exact monopole metric 1 as soon as, for each simple root, the individual monopoles corresponding to that root are well separated. We also show that the estimates can be differentiated term by term in natural coordinates, which is a new result even f...