What is Kaku's equation about?

Question

When Michio Kaku talks about science he often likes to refer to string theory and sometimes to his equation which looks like this (not sure if wrote right): $$L = \Phi^\dagger[i\partial_{\tau}-H]\Phi + \Phi^{\dagger} \ast \Phi \ast\Phi .$$ It appears to me like some field theory Lagrangian with an interacting and a free part but I have no idea what it actually describes.

Can all of string theory really be summarised in this equation? Can someone give a brief description?

Answer 1

The quadratic term would give the propagation of the free string, and once ΦΦ and Φ+Φ+ are unpacked we can say what kind of string theory this is. Probably a purely bosonic string if Kaku wrote it in the 1970's.

The second term is a standard interaction vertex which splits one string into two or joins two strings into one - a splitting/joining operator.

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