Exploring ABJM-like Theories and M-theory on dS4 x X7

[mitchell porter]

The ABJM model is a super-Chern-Simons theory in 2+1 dimensions which is dual to M-theory on AdS4 x S7/Z_k. Other ABJM-like theories are being explored which are dual to M-theory on other AdS4 x X7 backgrounds.

One difficulty of dS/CFT is that you can't match up supersymmetries as you do in AdS/CFT. But Tom Banks proposes to use this to our advantage: "cosmological supersymmetry breaking", in which SUSY is broken by cosmological boundary conditions.

So perhaps we are living in an M-theory universe with an ABJM-like theory on its boundary, but the topology of space is dS4 x X7 and that is why SUSY is broken.

And maybe SUSY is broken a la https://www.physicsforums.com/showthread.php?t=485247": hiding in plain sight. The ABJM-like boundary fields might be regarded as the preons of the model.

AdS/CFT is usually studied in the large-N limit. I hear that for small N - which is the real-world case - the compact dimensions may become noncommutative.

So perhaps our world is described at low energies by the noncommutative standard model of Connes et al. In that model, the particle masses and mixing matrices help to parametrize the Dirac operator which defines the theory.

The final, most speculative, and vaguest idea is that something from the perspective of https://www.physicsforums.com/showthread.php?p=3206455".

Just to close the conceptual circle, remember that this is ultimately meant to be obtained from a 4-dimensional de-Sitter M-theory background where the 7 small dimensions are noncommutative, and which is holographically dual to an ABJM-like theory with a gauge group of low rank.

 

[AndyW]

I find your ideas and speculations very intriguing. The concept of "cosmological supersymmetry breaking" is definitely a unique approach to explaining the breaking of supersymmetry in our universe. It would be interesting to explore this idea further and see if it is supported by any observational evidence.

Additionally, the possibility of a noncommutative standard model and its connection to the ABJM-like theories and M-theory on AdS4 x X7 backgrounds is also an interesting avenue to explore. It would be valuable to see if this model can accurately describe the particle masses and mixing matrices in our universe.

Your suggestion of incorporating ideas from loop quantum gravity is also thought-provoking. It would be interesting to see if there is any connection between loop quantum gravity and the holographic duality proposed in the ABJM-like theories.

Overall, your ideas present a unique and exciting way to approach the complexities of our universe and its underlying theories. I believe it is important to continue exploring and investigating all possible explanations and connections in order to gain a deeper understanding of our world. Thank you for sharing your thoughts and contributing to the ongoing scientific discourse.