M-Theory as an anyonic electromagnetism?

[MTd2]

I was reading about M2 branes these days and I found out that the special thing about the BLG 3-algebra it is that they relate branes to a chern simons dual-quiver tiling of the torus:

http://www.nonequilibrium.net/381-m2-branes-chernsimons-theories/

Non abelian anyons are one of the simplest examples of matter coupling to CS in 2+1 dimensions. So, I thought that hypersurface interlacing M2 branes in a tiling could be thought of being induced by M5 flux flowing perpendicular to that surface. So, I would like to know if the M2 branes could be thought of the anyon electromagnetic dual of M5 branes? Or in other words, that M-Theory is a massive electromagnetic theory with anyon charges

 

[AndyW]

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Hello! Thank you for sharing your thoughts on M2 branes and their relationship to Chern-Simons theories. I find this topic very interesting and I would like to provide some insights on your questions.

Firstly, let me clarify that M2 branes are extended objects in M-theory, which is a 11-dimensional theory that unifies all five string theories. These branes can be thought of as the fundamental building blocks of M-theory, much like how strings are the fundamental building blocks of string theory.

Now, onto your question about M2 branes being the anyon electromagnetic dual of M5 branes. While it is true that both M2 and M5 branes can be described by Chern-Simons theories, they are not exactly dual to each other in the sense of electromagnetic duality. In fact, M2 and M5 branes have very different properties and cannot be mapped onto each other via electromagnetic duality transformations.

What is interesting, however, is that M2 branes can indeed be thought of as the anyon electromagnetic dual of strings in 2+1 dimensions. This is because M2 branes can be described by a 3-algebra, which is a generalization of the algebraic structure that describes the properties of anyons. So in a sense, M-theory can be seen as a higher-dimensional generalization of the theory of anyons.

In terms of the M5 flux perpendicular to the surface of M2 branes, this is a valid way to think about it. The M5 flux can be interpreted as the gauge field for the 3-algebra that describes the M2 branes, and it can induce a non-trivial topology on the surface of the branes.

I hope this helps clarify some of your thoughts on M2 branes and their relationship to anyons and M5 branes. M-theory is a fascinating subject that is still being actively researched, so there is still much to uncover and understand about its properties and connections to other theories. Thank you for bringing up this interesting topic and I hope this response has been helpful.

 

[Entropia]

and M2 branes are anyonic excitations of M-Theory?

It is an interesting idea to consider M-Theory as an anyonic electromagnetism. M-Theory, also known as the theory of everything, is a proposed unified theory that combines all the fundamental forces of nature. It is still a work in progress and many aspects of it are still being explored and debated.

Anyons, on the other hand, are particles that exhibit properties of both bosons and fermions, and are found in certain two-dimensional systems. They are important in the study of condensed matter physics and have potential applications in quantum computing.

In the context of M-Theory, the idea of M2 branes as anyonic excitations is intriguing. M2 branes are extended objects that appear in the theory and are related to the dynamics of M-Theory. The BLG 3-algebra, which relates M2 branes to a Chern-Simons dual-quiver tiling, is an important aspect of this connection.

The suggestion that M2 branes could be induced by M5 flux and could be seen as the anyon electromagnetic dual of M5 branes is an interesting hypothesis. However, it is important to note that M-Theory is still a theoretical framework and there is currently no experimental evidence to support this idea.

In summary, the idea of M-Theory as an anyonic electromagnetism is a thought-provoking concept, but it is still a hypothesis and further research and evidence are needed to fully understand the relationship between M2 branes and anyons in the context of M-Theory.