Composite Gauge Bosons: Supersymmetric SU(4) Example

In summary, John Ellis discussed a surprising discovery of a supersymmetric example with an SU(4) gauge group and 6 (4 + \bar{4}) multiplet pairs, which resulted in an SU(2) composite gauge theory with 12 2 fermions and 32 singlet scalars in the infrared limit. This was initially a puzzle, but is now known to be a strong-weak duality with a complex mathematical proof. This construction may have applications in QCD and models of electroweak symmetry breaking. Ellis's thought about composite gauge bosons not being ruled out by the Weinberg-Witten theorem is accurate, as it only applies to certain types of composite gravitons and still allows for other possibilities
  • #1
mitchell porter
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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 ([itex]4[/itex] + [itex]\bar{4}[/itex]) multiplet pairs, which yielded an SU(2) composite gauge theory with 12 [itex]2[/itex] 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.
 
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  • #2
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.
 
  • #3
It makes me thing about getting bosons easily from spin networks.
 

Related to Composite Gauge Bosons: Supersymmetric SU(4) Example

1. What are composite gauge bosons in the context of supersymmetric SU(4)?

Composite gauge bosons are particles that are made up of other, smaller particles. In the context of supersymmetric SU(4), these composite gauge bosons are formed from the combination of four different superpartners, each associated with the fundamental forces of nature.

2. What makes the SU(4) example of composite gauge bosons particularly interesting?

The SU(4) example of composite gauge bosons is particularly interesting because it is a manifestation of supersymmetry, a theoretical framework that proposes a deeper connection between particles with different properties. This example provides insight into the potential underlying symmetry of the universe.

3. How are these composite gauge bosons different from the elementary gauge bosons?

Composite gauge bosons are different from elementary gauge bosons in that they are made up of smaller particles, while elementary gauge bosons are considered to be fundamental particles. Additionally, composite gauge bosons exhibit different properties and behaviors compared to elementary gauge bosons.

4. What are some potential applications of studying composite gauge bosons?

Studying composite gauge bosons can help us better understand the fundamental forces of nature and their underlying symmetries. This knowledge can potentially lead to the development of new theories and technologies, such as improved energy production and quantum computing.

5. How are composite gauge bosons being studied and observed in experiments?

Composite gauge bosons are being studied and observed through experiments using high-energy particle accelerators, such as the Large Hadron Collider (LHC) at CERN. By colliding particles at high speeds, scientists can observe the behavior and properties of these composite particles and gather data to support or disprove theoretical models.

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