Why do matrix models fail to be The M-Theory?

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SUMMARY

The discussion focuses on the limitations of matrix models, specifically the BFSS and IKKT models, in fully representing M-theory. The BFSS matrix theory, while conjectured to describe the infinite momentum frame limit of M-theory, fails to incorporate the eleventh space-time coordinate, thus hindering the derivation of M-theory's full dynamics. The IKKT model, although promising for a quantum theory of fundamental interactions, does not align with string theory due to its distinct approach to non-commutative brane configurations and lack of a physical 10D bulk.

PREREQUISITES
  • Understanding of M-theory and its implications in theoretical physics
  • Familiarity with matrix models, specifically BFSS and IKKT
  • Knowledge of non-commutative geometry and its applications in quantum gravity
  • Basic concepts of string theory and its differences from matrix models
NEXT STEPS
  • Research the implications of the infinite momentum frame in M-theory
  • Explore the mathematical foundations of non-commutative geometry in quantum theories
  • Study the differences between matrix models and string theory frameworks
  • Investigate recent advancements in quantum gravity theories beyond string theory
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The discussion is beneficial for theoretical physicists, researchers in quantum gravity, and students exploring advanced concepts in M-theory and matrix models.

MTd2
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In what aspect do they fail (IKKT and BFSS) to be?
 
Physics news on Phys.org
http://arxiv.org/abs/1003.4694
"BFSS matrix theory is conjectured to describe infinite momentum frame (IMF) limit of Mtheory in [1] and many evidences were found. However, because of the limit, the theory does not include a variable corresponding to the eleventh space-time coordinate of M-theory; it includes only time and nine matrices corresponding to nine spatial coordinates. As a result, it is very difficult to derive full dynamics of M-theory."
 
Right, what about the IKKT model?
 
http://arxiv.org/abs/1003.4134
"The IKKT model with D=10 and close relatives are singled out as promising candidates for a quantum theory of fundamental interactions including gravity. "

But this isn't string theory.
 
But why aren`t they the same as string theory?
 
I guess it's not clear that it's string theory.

He refers to string theory work as "based on a different type of block-matrix background, and NC branes have been considered only for geometries with a high degree of symmetry." Whereas in his work the "new point here is to consider general NC brane configurations and their effective gravity in the matrix model, without physical 10D bulk."
 

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