K. Intriligator et N. Seiberg, DUALITY, MONOPOLES, DYONS, CONFINEMENT AND OBLIQUE CONFINEMENT IN SUPERSYMMETRIC SO(N(C)) GAUGE-THEORIES, Nuclear physics. B, 444(1-2), 1995, pp. 125-160
We study supersymmetric SO(N-c) gauge theories with N-f flavors of qua
rks in the vector representation. Among the phenomena we find are dyna
mically generated superpotentials with physically inequivalent branche
s, smooth moduli spaces of vacua, confinement and oblique confinement,
confinement without chiral symmetry breaking, massless composites (gl
ueballs, exotics, monopoles and dyons), non-trivial fixed points of th
e renormalization group and massless magnetic quarks and gluons. Our a
nalysis sheds new light on a recently found duality in N = 1 supersymm
etric theories. The dual forms of some of the theories exhibit ''quant
um symmetries'' which involve non-local transformations on the fields.
We find that in some cases the duality has both S and T transformatio
ns generating SL(2, Z) (only an S-3 quotient of which is realized non-
trivially). They map the original non-Abelian electric theory to magne
tic and dyonic non-Abelian theories. The magnetic theory gives a weak
coupling description of confinement while the dyonic theory gives a we
ak coupling description of oblique confinement. Our analysis also show
s that the duality in N = 1 is a generalization of the Montonen-Olive
duality of N = 4 theories.