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  Yang-Mills/topological string theory (M-theory) duality

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It is known that there is a duality between Chern-Simons theory on 3-fold $M$ and topological A-model on the cotangent bundle of this manifold, $T^*M$ (see, for example, the original paper by Witten, Chern-Simons Gauge Theory As A String Theory).

In Topological M-theory as Unification of Form Theories of Gravity Vafa and friends proposed a generalization of the aforementioned duality to the following set of theories:

  • Topological gauge theory on 4-fold $M$;
  • Topological A-model on twistor space of this manifold, $T(M)$;
  • Topological M-theory on certain bundle over M.

Moreover, it is stated that there is a deformation of A-model which is equivalent to full Yang-Mills theory.

I couldn't find a mention of any of these equivalences in the literature. Could anybody recommend some?

asked Apr 20, 2017 in Theoretical Physics by Andrey Feldman (904 points) [ revision history ]
retagged Apr 20, 2017 by Andrey Feldman

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