S-duality in SU(3) Yang-Mills Theory with Non-abelian Unbroken Gauge Group

Details S-duality in SU(3) Yang-Mills Theory with Non-abelian Unbroken Gauge Group S-duality in SU(3) Yang-Mills Theory with Non-abelian Unbroken Gauge Group

1998-05-25

arxiv.org/abs/hep-th/9805163v2

Nucl.Phys. B535 (1998) 197-218

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, harvmac, amssym, one eps figure; minor misprints corrected and title amended

Scientific paper

10.1016/S0550-3213(98)00581-1

It is observed that the magnetic charges of classical monopole solutions in Yang-Mills-Higgs theory with non-abelian unbroken gauge group $H$ are in one-to-one correspondence with coherent states of a dual or magnetic group $\tilde H$. In the spirit of the Goddard-Nuyts-Olive conjecture this observation is interpreted as evidence for a hidden magnetic symmetry of Yang-Mills theory. SU(3) Yang-Mills-Higgs theory with unbroken gauge group U(2) is studied in detail. The action of the magnetic group on semi-classical states is given explicitly. Investigations of dyonic excitations show that electric and magnetic symmetry are never manifest at the same time: Non-abelian magnetic charge obstructs the realisation of electric symmetry and vice-versa. On the basis of this fact the charge sectors in the theory are classified and their fusion rules are discussed. Non-abelian electric-magnetic duality is formulated as a map between charge sectors. Coherent states obey particularly simple fusion rules, and in the set of coherent states S-duality can be formulated as an SL(2,Z)-mapping between sectors which leaves the fusion rules invariant.

Affiliated with

Also associated with

No associations

Rating

S-duality in SU(3) Yang-Mills Theory with Non-abelian Unbroken Gauge Group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with S-duality in SU(3) Yang-Mills Theory with Non-abelian Unbroken Gauge Group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and S-duality in SU(3) Yang-Mills Theory with Non-abelian Unbroken Gauge Group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-142980