Is SUGRA N=1 in 11D asymptotic safe a la Reuter?

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SUMMARY

Supergravity (SUGRA) is crucial for string theory and M-theory but is generally considered non-renormalizable. The discussion centers on the potential for SUGRA to be asymptotically safe in a non-perturbative context, similar to the arguments presented by Reuter regarding Einstein-Hilbert (EH) action. A key point raised is the distinction between on-shell techniques, typically required for studying the finiteness of SUGRA, and the off-shell Green's functions employed by Reuter.

PREREQUISITES
  • Understanding of supergravity (SUGRA) principles
  • Familiarity with string theory and M-theory
  • Knowledge of renormalization concepts in quantum field theory
  • Awareness of on-shell and off-shell techniques in theoretical physics
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  • Research the implications of asymptotic safety in quantum gravity
  • Study Reuter's approach to the Einstein-Hilbert action
  • Explore on-shell versus off-shell techniques in quantum field theory
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The discussion is beneficial for theoretical physicists, particularly those specializing in quantum gravity, string theory researchers, and anyone exploring the renormalization properties of supergravity.

MTd2
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That sugra is very important to string theory and m theory. But, it seems to be non renormalizable. But could it asymptotic safe, non perturbatively, like Reuter argues for EH action?
 
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MTd2 said:
... it seems to be non renormalizable.
Do you know something about the current status?

MTd2 said:
But could it asymptotic safe, non perturbatively, like Reuter argues for EH action?
I don't know.

But my understanding was always that studying finiteness of SUGRA requires on-shell techniques, whereas Reuter uses off-shell Greens functions.
 

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