Hi,
In the context of Seiberg-Witten Theory, There are two types of particles:
- Mutually Local Particles: This means that at the vacuum manifold, one can use a coordinate (an Electric-Magnetic duality frame) on Coulomb branch such that all hypermultiplet have electric charges which couple to a theory written completely in terms of usual U(1) photon coupled to electric sources;
- Mutually Non-Local Particles: This means that there is no such coordinate
I have several questions:
- What is non-local here? why this name?
- In the case of SU(2) theory, at the two singularities it is said that a monopole and a dyon become massless, Does this particles are in BPS spectrum of theory at the original duality frame (coordinate a) or it is in new frame (aD for monopole and a−2aD for dyons.)?
- Where the flatness of Sp(2r;Z) comes from (for a r-dimensional complex Coulomb branch)?