Does supersymmetry rule out asymptotic safety?

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Discussion Overview

The discussion revolves around the relationship between supersymmetry and asymptotic safety in quantum gravity (QG). Participants explore whether the existence of supersymmetry, if confirmed at the LHC, would invalidate the concept of asymptotic safety, particularly in the context of theories involving gravity and matter.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant questions if finding supersymmetry at the LHC would disprove asymptotic safety in QG, referencing a specific article.
  • Another participant interprets the article's abstract, noting that it suggests many supersymmetric theories cannot be asymptotically safe, but leaves open the possibility for non-supersymmetric theories and certain supersymmetric theories that do not meet the article's assumptions.
  • A different perspective argues that the paper is largely irrelevant because it focuses on supersymmetry without considering matter, which is typically included in discussions of asymptotic safety.
  • This participant further emphasizes that asymptotic safety is generally applied to theories involving gravity plus matter, suggesting that the paper's assumptions may limit its applicability.
  • The same participant references previous work indicating that gravity may be asymptotically safe, proposing that the Standard Model combined with gravity could remain valid at high energies, and discusses implications for the Higgs boson mass.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of the discussed paper to the question of supersymmetry and asymptotic safety. There is no consensus on whether supersymmetry rules out asymptotic safety, and multiple competing perspectives remain present in the discussion.

Contextual Notes

The discussion highlights limitations regarding the assumptions made in the referenced paper, particularly its exclusion of matter in the context of asymptotic safety, which may affect the conclusions drawn.

Nickyv2423
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If we find supersymmetry at the LHC, would this prove asymptotic safety in QG wrong?
Here's the article
https://arxiv.org/pdf/1508.07411v2.pdf
 
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What I understand from the abstract is that they proved a large number of supersymmetric theories can't be asymptotically safe. It still leaves non-supersymmetric theories and supersymmetric theories that don't satisfy their assumptions.
 
From my perspective this paper is nearly irrelevant.

Usually asymptotic safety is applied to theories for gravity plus matter. This paper deals with supersymmetry, but without matter.

I guess the idea is to continue with gravity, SUGRA, ...
 
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tom.stoer said:
From my perspective this paper is nearly irrelevant.

Usually asymptotic safety is applied to theories for gravity plus matter. This paper deals with supersymmetry, but without matter.

I guess the idea is to continue with gravity, SUGRA, ...

this paper assumes no supersymmetry

Asymptotic safety of gravity and the Higgs boson mass
Mikhail Shaposhnikov, Christof Wetterich
(Submitted on 1 Dec 2009 (v1), last revised 12 Jan 2010 (this version, v2))
There are indications that gravity is asymptotically safe. The Standard Model (SM) plus gravity could be valid up to arbitrarily high energies. Supposing that this is indeed the case and assuming that there are no intermediate energy scales between the Fermi and Planck scales we address the question of whether the mass of the Higgs boson mH can be predicted. For a positive gravity induced anomalous dimension Aλ>0 the running of the quartic scalar self interaction λ at scales beyond the Planck mass is determined by a fixed point at zero. This results in mH=mmin=126 GeV, with only a few GeV uncertainty. This prediction is independent of the details of the short distance running and holds for a wide class of extensions of the SM as well. For Aλ<0 one finds mH in the interval mmin<mH<mmax≃174 GeV, now sensitive to Aλ and other properties of the short distance running. The case Aλ>0 is favored by explicit computations existing in the literature.
Comments: 8 pages, typos corrected, references added. Journal version
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph)
Journal reference: Phys.Lett.B683:196-200,2010
DOI: https://arxiv.org/ct?url=http%3A%2F%2Fdx.doi.org%2F10%252E1016%2Fj%252Ephysletb%252E2009%252E12%252E022&v=69d96e2f
Cite as: arXiv:0912.0208 [hep-th]
 
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