Abstract
We propose a new set of s-confining theories with product gauge groups and no tree-level superpotential, based on a model with one antisymmetric matter field and four flavors of quarks. For each product group we find a set of gauge-invariant operators which satisfy the ’t Hooft anomaly matching conditions, and we identify the dynamically generated superpotential which reproduces the classical constraints between operators. Several of these product gauge theories confine without breaking chiral symmetry, even in cases where the classical moduli space is quantum-modified. These results may be useful for composite model building, particularly in cases where small operators of the form left(Qoverline{Q}right) are absent, or for theories with multiple natural energy scales, and may provide new ways to break supersymmetry dynamically.
Highlights
We propose in the language of [4] that this SU(N )k model is “s-confining”: that is, the theory confines smoothly in the infrared without breaking chiral symmetry, and it generates a non-vanishing superpotential that describes the interactions between the gauge invariant composite fields
Our product group extension to the A + 4Q + N Q model exhibits the behavior required for an s-confining theory
The set of gauge invariant operators {Jk, Kk, B1, Z1...k} satisfies the t’ Hooft anomaly matching conditions; the origin remains on the quantum moduli space, so the theory can confine without breaking chiral symmetry; and there is a dynamically generated superpotential
Summary
Of bifundamental fields (Qi)αβ charged under adjacent gauge groups SU(N )i × SU(N )i+1 as shown in table 1 This theory is an extension of a model, SU(N ) : ( + 4 + N ), which has been shown to confine [1,2,3]. The various SU(N )i subgroups generally confine at different scales Λi, with hierarchies based on the coupling constants gi. Product groups of this form appear in studies of five-dimensional gauge theories [8,9,10,11].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
