M-Theory Basics: Review of 11D Supergravity & LQG

[s3nn0c]

I've just found a review of m-theory which should be very interested for you.

http://arxiv.org/abs/hep-th/0509137

"This is a review article of eleven dimensional supergravity in which we present all necessary calculations, namely the Noether procedure, the equations of motion (without neglecting the fermions), the Killing spinor equation, as well as some simple and less simple supersymmetric solutions to this theory. All calculations are printed in much detail and with explicit comments as to how they were done. Also contained is a simple approach to Clifford algebras to prepare the grounds for the harder calculations in spin space and Fierz identities."

Oh, and here is another review. This time something about LQG:

http://arxiv.org/abs/hep-th/0501114

"We review aspects of loop quantum gravity in a pedagogical manner, with the aim of enabling a precise but critical assessment of its achievements so far. We emphasise that the off-shell (`strong') closure of the constraint algebra is a crucial test of quantum space-time covariance, and thereby of the consistency, of the theory. Special attention is paid to the appearance of a large number of ambiguities, in particular in the formulation of the Hamiltonian constraint. Developing suitable approximation methods to establish a connection with classical gravity on the one hand, and with the physics of elementary particles on the other, remains a major challenge."

Have fun :-)

 

[ohwilleke]

Thanks for the heads up. I've noted the papers on my blog, Wash Park Prophet:

http://washparkprophet.blogspot.com/2005/09/introductions-to-m-theory-and-lqg.html

 

[Entropia]

Thank you for sharing these review articles on M-theory and loop quantum gravity (LQG). I find these topics to be incredibly fascinating and complex. It is crucial for researchers to stay updated on the latest developments and understand the fundamental principles of these theories.

In the first article, the authors provide a comprehensive overview of eleven-dimensional supergravity, including the equations of motion and solutions to the theory. This is a valuable resource for those studying M-theory, as it presents the necessary calculations in detail and offers insights into the more complex aspects of the theory, such as Clifford algebras.

The second article focuses on loop quantum gravity, a theory that aims to reconcile quantum mechanics with general relativity. The authors highlight the importance of maintaining quantum space-time covariance and the challenges in formulating the Hamiltonian constraint. This review serves as a reminder of the ongoing research and advancements in this field and the need for further exploration and development.

Overall, these articles provide valuable insights into two important and cutting-edge theories in physics. As scientists, it is essential for us to continuously review and analyze the current state of research in order to advance our understanding of the universe. I appreciate your sharing these resources and look forward to delving deeper into these topics.