topological M-theory

Many aspects of the theory of “topological strings” (the A-model and the B-model) proceed in close analogy (just simpler) to the “physical” string theory. Accordingly, as the latter can usefully be organized as the dimensional reduction of a conjectured UV-completion of 11-dimensional supergravity – M-theory – there seems to be an analogous higher dimensional organizational principle for topological strings, hence termed *topological M-theory*.

One way to understand it is as a TQFT-analog of the M2-brane sigma-model, the *topological membrane*.

The notion has been introduced in

- Robbert Dijkgraaf, Sergei Gukov, Andrew Neitzke, Cumrun Vafa,
*Topological M-theory as Unification of Form Theories of Gravity*(arXiv:hep-th/0411073)

Under the term “Z-theory” aspects were discussed in

- Nikita Nekrasov,
*Z Theory*, (arXiv:hep-th/0412021)

An introduction is in

- Andrew Neitzke,
*Elements of topological M-theory*(2005) (pdf)

The *topological membrane* is made explicit in

- Ling Bao, Viktor Bengtsson, Martin Cederwall, Bengt Nilsson,
*Membranes for Topological M-Theory*(arXiv:hep-th/0507077)

- Giulio Bonelli, Alessandro Tanzini, Maxim Zabzine,
*On topological M-theory*(arXiv:hep-th/0509175)

Revised on August 27, 2013 17:52:05
by Urs Schreiber
(82.113.121.162)