Composite Gauge Bosons: Supersymmetric SU(4) Example

[mitchell porter]

Buried in a recent talk by John Ellis, the following passage:

It had long been thought that composite gauge bosons were impossible [92, 93], but then along came an explicit supersymmetric example with an SU(4) gauge group and 6 ($4$ + $\bar{4}$) multiplet pairs, which yielded an SU(2) composite gauge theory with 12 $2$ fermions and 32 singlet scalars in the infrared limit. This behaviour was initially a puzzle, although consistent with the 4-dimensional c-theorem. However, it is now known to be just one example of a strong-weak duality whose proof involves an abstruse relationship between elliptic hypergeometric Gamma functions and q-Pochhammer symbols (!) that the mathematicians have only recently discovered. It has been suggested that some deformation of this construction might be applicable to the ρ meson of QCD [93] - it has long been known that vector meson dominance requires an effective dynamical local symmetry. Or perhaps this construction would be interesting in dynamical models of electroweak symmetry breaking? Might the gauge bosons of the SM actually be composite?

Reference 92 is Weinberg & Witten 1980, reference 93 is a talk by Zohar Komargodski at the same meeting.

 

[atyy]

Is Ellis's thought accurate? I don't think anyone thought the Weinberg-Witten theorem ruled out composite gauge bosons, only certain types of composite gravitons. It didn't even rule out things like Sakharov's induced gravity.

 

[MTd2]

It makes me thing about getting bosons easily from spin networks.