Noncommutative Cohomological Field Theory and GMS soliton

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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28 pages, 4 figures, some minor errors corrected and references added

Scientific paper

10.1063/1.1418428

We show that it is possible to construct a quantum field theory that is invariant under the translation of the noncommutative parameter $\theta_{\mu\nu}$. This is realized in a noncommutative cohomological field theory. As an example, a noncommutative cohomological scalar field theory is constructed, and its partition function is calculated. The partition function is the Euler number of Gopakumar, Minwalla and Strominger (GMS) soliton space.

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