Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-04-06
Phys.Rev.D79:125012,2009
Physics
High Energy Physics
High Energy Physics - Theory
55 pages, 6 figures
Scientific paper
10.1103/PhysRevD.79.125012
In N=2 supersymmetric QCD with the U(N) gauge group and N_f>N we study the crossover transition from the weak coupling regime at large \xi to strong coupling at small \xi where \xi is the Fayet--Iliopoulos parameter. We find that at strong coupling a dual non-Abelian weakly coupled N=2 theory exists which describes low-energy physics at small \xi. The dual gauge group is U(N_f-N) and the dual theory has N_f flavors of light dyons, to be compared with N_f quarks in the original U(N) theory. Both, the original and dual theories are Higgsed and share the same global symmetry SU(N) x SU(N_f-N) x U(1), albeit the physical meaning of the SU(N) and SU(N_f-N) factors is different in the large- and small-\xi regimes. Both regimes support non-Abelian semilocal strings. In each of these two regimes particles that are in the adjoint representations with respect to one of the factor groups exist in two varieties: elementary fields and composite states bound by strings. These varieties interchange upon transition from one regime to the other. We conjecture that the composite stringy states can be related to Seiberg's M fields. The bulk duality that we observed translates into a two-dimensional duality on the world sheet of the non-Abelian strings. At large \xi the internal dynamics of the semilocal non-Abelian strings is described by the sigma model of N orientational and (N_f-N) size moduli, while at small \xi the roles of orientational and size moduli interchange. The BPS spectra of two dual sigma models (describing confined monopoles/dyons of the bulk theory) coincide. It would be interesting to trace parallels between the non-Abelian duality we found and string theory constructions.
Shifman Michael
Yung Alexei
No associations
LandOfFree
Non-Abelian Duality and Confinement in N=2 Supersymmetric QCD 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 Non-Abelian Duality and Confinement in N=2 Supersymmetric QCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Abelian Duality and Confinement in N=2 Supersymmetric QCD will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-313402