M-theory and Calabi-Yau compactifications

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SUMMARY

The discussion centers on the relationship between gauge groups, specifically SU(2), and Calabi-Yau compactifications in string theory and M-theory. It establishes that d=6 Calabi-Yau spaces are integral to d=10 string theory, while d=7 G2 manifolds are used in d=11 M-theory. The conversation highlights two primary methods for generating gauge groups: using brane stacks and embedding spin connections in stringy gauge groups. Furthermore, it emphasizes the significance of the Dirac operator in counting fermionic representations and the implications for particle physics.

PREREQUISITES
  • Understanding of Calabi-Yau compactifications in string theory
  • Familiarity with gauge groups such as SU(2) and U(1)
  • Knowledge of the Dirac operator and its role in particle physics
  • Basic concepts of M-theory and string theory dimensionality
NEXT STEPS
  • Study "D-brane Primer" by Clifford Johnson for insights on brane stacks
  • Explore the implications of the Dirac operator on fermionic mass terms
  • Investigate the role of G2 manifolds in M-theory
  • Learn about Higgs bundles and their relationship to gauge theory
USEFUL FOR

The discussion is beneficial for theoretical physicists, string theorists, and mathematicians interested in the interplay between geometry and particle physics, particularly those focusing on gauge groups and compactifications in string theory.

  • #31
@Cyroos, I will be happy to continue working with you. But I have never been able to profit from my scientific interest.
 
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  • #32
I'll show U how to profit . . . ..
 
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  • #33
Cyroos said:
I'll show U how to profit . . . ..
Caution, @bayakiv -- This looks like a scam setup...
 
  • #34
@berkeman You needlessly worry about me. I work for an enterprise subject to US sanctions, so is it worth fearing fraud when faced with the banditry of one state in relation to another? By the way, commerce is quite appropriate here, you can, for example, sell a https://www.researchgate.net/publication/349426966_Vortex_Plasma_Thruster to an interested party.
 
Last edited:
  • #35
Dear Bayakiv !
i am no plotter / no scammer / no intriguer . ..
I just know how to put our in-common brand/branch of topology to best commercial use in Japan . . .
You decide for yourself to work with me in the long run OR not to . . .

Respect
Regards
Cyroos
 
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  • #36
Dear Cyross, I have no doubt about your honesty.
 
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  • #37
Thanx . .. . .. I have just arrived Japan
I only hope that my middle-man shall do a good job for us both . . .
I have NO experience of doing business , ,, ,,
 
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  • #38
Well this thread has taken an unexpected turn... :oldconfused:
 
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  • #39
wat's the problem , Eloheim ?
 
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  • #40
Thread closed for Moderation...
 
  • #41
Thread is closed after questionable user has been banned.

Cyroos said:
I'll show U how to profit . . . ..
Cyroos said:
Dear Bayakiv !
i am no plotter / no scammer / no intriguer . ..
I just know how to put our in-common brand/branch of topology to best commercial use in Japan . . .
You decide for yourself to work with me in the long run OR not to . . .

Respect
Regards
Cyroos
Cyroos said:
Thanx . .. . .. I have just arrived Japan
I only hope that my middle-man shall do a good job for us both . . .
I have NO experience of doing business , ,, ,,
 

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