Exact superpotentials, quantum vacua and duality in supersymmetric SP(Nc) gauge theories

Abstract

We study N = 1 supersymmetric SP (N c ) gauge theories with N f flavors of quarks in the fundamental representation. Depending on N f and N c , we find exact, dynamically generated superpotentials, smooth quantum moduli spaces of vacua, quantum moduli spaces of vacua with additional massless composites at strong coupling, confinement without chiral symmetry breaking, non-trivial fixed points of the renormalization group, and massless magnetic quarks and gluons. 4/95Supersymmetric gauge theories have the special property that certain quantities are holomorphic and can often be obtained exactly [1]. See [2] for a recent review and [3-6] for earlier work. The exact results so obtained provide insight into the dynamics of strongly coupled gauge theories, revealing a variety of interesting phenomena. It is of interest to know which phenomena are specific to particular examples and which are generic. Because the particular details appear to be very specific to the choice of gauge group and matter content, it is important to consider many different examples.

Stringy instantons at orbifold singularities

“…6 It is interesting to note that the above correction is present in the same case (N 1 = N 2 ≡ N) where the usual ADS superpotential for USp(N) is generated [42] W ADS = Λ 2N +3 det(Φ 12 ) (4.14)…”

SO and USp Kähler and hyper-Kähler quotients and lumps

“…This method has been widely used in the studies of N = 1 supersymmetric gauge theories [23,24,25]. See [26,27] for recent developments.…”

Supersymmetric composite models on intersecting D-branes

“…(See Ref. [14] for the dynamics of USp(N) supersymmetric gauge theories.) The low-energy particle contents before "hypercolor" confinement is given in Table III.…”