What Are Tri-Linear Invariants in M-Theory and 3-Algebras?

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SUMMARY

The discussion centers on tri-linear invariants in M-theory and their relationship with 3-algebras. Participants reference insights from experts like J. Baez and mention the significance of the number 3 in M-theory, particularly in relation to exceptional symmetries and E(n) invariant scalar products for n=6, 7, and 8. The conversation highlights a lack of consensus on the interpretation of these invariants, indicating a gap in understanding within the theoretical physics community.

PREREQUISITES
  • Understanding of M-theory concepts
  • Familiarity with 3-algebras
  • Knowledge of exceptional symmetries
  • Basic grasp of E(n) invariant scalar products
NEXT STEPS
  • Research the properties of tri-linear invariants in M-theory
  • Explore the role of 3-algebras in theoretical physics
  • Study exceptional symmetries and their implications in M-theory
  • Investigate E(n) invariant scalar products for n=6, 7, and 8
USEFUL FOR

The discussion is beneficial for theoretical physicists, mathematicians specializing in algebraic structures, and researchers interested in advanced topics in M-theory and its applications.

tom.stoer
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After some hints regarding M-theory I tried to understand 3-algebras.

I asked this question here some months ago and I asked some other experts (J. Baez was one of them) regarding an E(n) invariant scalar product (n=6, 7, 8); unfortunately nobody had a convincng idea.

In Lubosz's blog I found a hint that in M-theory everything is (magically) related to the number 3; he mentions 3-algebras and exceptional symmetries because of their tri-linear invariants.

Does anybody know what these invariants are and how they can be interpreted?
 

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