Explicit embedding of gravity+Standard Model in E8 (new Lisi paper)

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SUMMARY

The discussion centers on Garrett Lisi's paper "An Explicit Embedding of Gravity and the Standard Model in E8," which proposes a unification of gravity and the Standard Model (SM) through the exceptional Lie algebra E8. The paper argues that gravitational and gauge fields can be represented using real matrices, aligning with a subalgebra of spin(11,3) acting on Majorana-Weyl spinors. This framework is positioned as predictive and testable, contrasting with other theoretical models that lack explicit predictions. The conversation also touches on critiques from Jaques Distler regarding the model's ability to accommodate three fermion generations and the implications of mirror fermions.

PREREQUISITES
  • Understanding of exceptional Lie algebras, specifically E8
  • Familiarity with the Standard Model of particle physics
  • Knowledge of gravitational theories, particularly General Relativity (GR)
  • Basic concepts of quantum field theory and gauge fields
NEXT STEPS
  • Research the implications of E8 in theoretical physics and its role in unification models
  • Explore the critiques of Lisi's model, particularly Jaques Distler's arguments
  • Investigate other unification theories, such as those presented by Hermann Nicolai and Kris Meissner
  • Study the mathematical structure and representations of exceptional groups in physics
USEFUL FOR

This discussion is beneficial for theoretical physicists, mathematicians interested in representation theory, and researchers exploring unification models in particle physics.

  • #61
atyy basically answered my question, sorry I was vague marcus. I was simply referring to the non-renormalization of straight-forwardly quantizing GR (unless it turns out to be asymptotically safe). I was trying to sort out whether Lisi's approach addressed this problem at all since the renormalizability of stringy gravitons is one of the much publicized advantages of string theory.

I noticed on http://www.science20.com/quantum_diaries_survivor/garrett_lisis_new_e8_paper#comments" a lengthy discussion in the comments between Nesti and Motl. Lubos obviously thinks GraviGUT is "foolish" - do his criticisms have any merit? Nesti seems to have held his own as far as the back and forth goes, but I cannot really evaluate the strengths of the arguments made. Something about mixing diffeomorphisms and Yang-Mills groups.
 
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  • #62
No, they have no merit. You cannot trust him lately, he was even banned from posting on Jacques Distler's blog for not accepting being wrong, intellectually lazy and impolite.
 
  • #63
dpackard said:
I noticed on http://www.science20.com/quantum_diaries_survivor/garrett_lisis_new_e8_paper#comments" a lengthy discussion in the comments between Nesti and Motl. Lubos obviously thinks GraviGUT is "foolish" - do his criticisms have any merit? Nesti seems to have held his own as far as the back and forth goes, but I cannot really evaluate the strengths of the arguments made. Something about mixing diffeomorphisms and Yang-Mills groups.

There's another interesting discussion between Nesti and Distler and some others here:
http://golem.ph.utexas.edu/~distler/blog/archives/002140.html
 
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  • #64
atyy said:
There's another interesting discussion between Nesti and Distler and some others here:
http://golem.ph.utexas.edu/~distler/blog/archives/002140.html

Lubos lays out his arguments http://motls.blogspot.com/2010/07/why-there-is-no-gravigut-symmetry.html" . If I understand correctly, they're basically the same as Distler's.
 
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  • #65
No, they are not the same. Distler's calculations are clear and correct. The person you mention built a straw man. This post and thread on another physics problem are enlightening and keep that in your mind, since this is a subject that the person you mention worked on for years:

http://golem.ph.utexas.edu/~distler/blog/archives/002199.html#c032759
 
  • #68
Given that the SciAm article will force some revisiting to this paper, let me to add my doubt against spin(11,1) or generically against SO(10) unification models: that it does not fit in maximum supergravity with kaluza klein; SO(10) is the symmetry group of the 9-sphere, and thus it invites to 9 extra dimensions.

Or we can stick with maximum sugra plus SO(10) and a bidimensional space time... after all, bidimensional space times are very in the music of string theory and also of other quantum gravity approaches.

In fact I believe to remember, but I am not sure, that the first appearing of E8 in modern theory was by doing dimensional reduction down to tridimensional or bidimensional space time. For GUT theories, the natural unification was only up to E6.
 

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