Noncommutative Cohomological Field Theory and GMS soliton

Tomomi Ishikawa; Shin-Ichiro Kuroki; Akifumi Sako

doi:10.1063/1.1418428

Noncommutative Cohomological Field Theory and GMS soliton

High Energy Physics - Theory 2009-11-07 v3 Mathematical Physics Algebraic Geometry math.MP

Authors: Tomomi Ishikawa , Shin-Ichiro Kuroki , Akifumi Sako

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Abstract

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.

Keywords

noncommutative field theory cohomological field theory GMS soliton partition function Euler number

Cite

@article{arxiv.hep-th/0107033,
  title  = {Noncommutative Cohomological Field Theory and GMS soliton},
  author = {Tomomi Ishikawa and Shin-Ichiro Kuroki and Akifumi Sako},
  journal= {arXiv preprint arXiv:hep-th/0107033},
  year   = {2009}
}

Comments

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

Noncommutative Cohomological Field Theory and GMS soliton

Abstract

Keywords

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