More confining N = 1 SUSY gauge theories from non-Abelian duality

Abstract

We expand on an idea of Seiberg that an N = 1 supersymmetric gauge theory shows confinement without breaking of chiral symmetry when the gauge symmetry of its magnetic dual is completely broken by the Higgs effect. This has recently been applied to some models involving tensor fields and an appropriate tree-level superpotential. We show how the confining spectrum of a supersymmetric gauge theory can easily be derived when a magnetic dual is known and we determine it explicitly for many models containing fields in second rank tensor representations. We also give the form of the confining superpotential for most of these models.December 1998 * E-mail: Matthias.Klein@uam.es 8 An infrared fixed point is only expected in the range of parameters where both the electric and the magnetic theory are asymptotically free in the ultraviolet [11,6].

IR free or interacting? A proposed diagnostic

“…There are many generalizations of this example, discussed in [37,40], which can be argued to confine using the dualities of [41,42,43]. Our conjecture that all IR free massless operators would have had R (0) (X) < 5/3 in a hypothetical interacting conformal scenario can be checked in all of these examples.…”

Elliptic Hypergeometry of Supersymmetric Dualities

“…If we set N = 3KN f − 1 in (9.4), then we obtain the s-confinement discussed in [50]. The superconformal index for the electric theory is given by (9.5), and the magnetic superconformal index takes the form…”

“…12.1.1. 12), we obtain the s-confinement [50]. The corresponding electric superconformal index is given by (9.13), and the magnetic superconformal index takes the form…”

“…If we take N = 3KN f − 5 for K-odd in (9.18), we obtain the s-confinement [50]. The corresponding electric superconformal index is given by (9.19), and the magnetic superconformal index takes the form .21), we obtain the s-confinement [50]. The corresponding electric superconformal index is given by (9.22), and…”

Dual unified SU(5)

“…Related studies of these theories were made in Refs. [13,14,15,16,17]. Unfortunately none of these models can do a very convincing impression of the conventional SU (5) GUT, although some rather general extensions of Kutasov (or more generally Kutasov-Schwimmer-Seiberg (KSS)) duality suggest that one might be able to get closer to it 1 .…”