- #1

Julius H

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- TL;DR Summary
- Would a membrane field theory give any insight about non-perturbative M-theory?

Hey guys, I just wanted to know if you think that a membrane field theory could ellucidate the non-perturbative framework of M-theory?

Let me specify and explain what I mean by that: String field theory was intoduced to study the non-perturbative regime of string theory and some achievements in that direction were made. It captures the dynamics of the physical and topological string. However, the latter is much easier to compute.

So my question is how are the chances that if one constructs a membrane field theory from the relation between the A-model and B-model topological string and topological M-theory, would the field theory also capture the dynamcis of the physiclal M-theory? Classically, membrane fields would be paths in the compactified space of super CFT relating the A- and B-stratum on its boundary and functionals of the maps of a covariant Courant sigma model or something like it, thereby unifying complex and symplectic structure of the target.

Do you think this is an honest way to proceed towards non-perturbative M-theory? The partition function of its topological part would probably count instantons over Lagrangian cobordisms inside the target.

Let me specify and explain what I mean by that: String field theory was intoduced to study the non-perturbative regime of string theory and some achievements in that direction were made. It captures the dynamics of the physical and topological string. However, the latter is much easier to compute.

So my question is how are the chances that if one constructs a membrane field theory from the relation between the A-model and B-model topological string and topological M-theory, would the field theory also capture the dynamcis of the physiclal M-theory? Classically, membrane fields would be paths in the compactified space of super CFT relating the A- and B-stratum on its boundary and functionals of the maps of a covariant Courant sigma model or something like it, thereby unifying complex and symplectic structure of the target.

Do you think this is an honest way to proceed towards non-perturbative M-theory? The partition function of its topological part would probably count instantons over Lagrangian cobordisms inside the target.

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