Any proof about the equivalance of between theories of R^4 x M and R^10?

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SUMMARY

The discussion centers on the equivalence of theories in R^4 x M, where R^4 is a flat 4-dimensional space and M is a 6-dimensional Calabi-Yau manifold, compared to R^10, a flat 10-dimensional space. Participants seek references and discussions regarding this equivalence, particularly in the context of string theory and higher-dimensional physics. The conversation also touches on the implications of coherent states of gravitons arising from these spaces, indicating a deeper inquiry into quantum gravity and theoretical physics.

PREREQUISITES
  • Understanding of string theory and its dimensional frameworks
  • Familiarity with Calabi-Yau manifolds and their properties
  • Knowledge of quantum gravity concepts and graviton states
  • Basic grasp of higher-dimensional mathematics and topology
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  • Research the implications of Calabi-Yau manifolds in string theory
  • Explore the mathematical framework of R^10 in theoretical physics
  • Investigate coherent states of gravitons and their significance in quantum gravity
  • Study existing literature on the equivalence of different dimensional theories
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The discussion is beneficial for theoretical physicists, mathematicians specializing in geometry, and researchers exploring the intersections of string theory and quantum gravity.

Osiris
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Here R^4 is a flat 4-dimensional space, and M is a 6-dimensional Calabi-Yau manifold;
and the other side, R^10, is a flat 10-dimensional space.

Is there any careful talk and reference about the equivalence of theories in those two spaces above?


Great thanks.
 
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What related questions could we ask here?

How about coherent states of gravitons arising from such spaces?
 

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