Noncommutative cohomological field theory and GMS soliton

Akifumi Sako; Shin Ichiro Kuroki; Tomomi Ishikawa

doi:10.1063/1.1418428

Noncommutative cohomological field theory and GMS soliton

Akifumi Sako, Shin Ichiro Kuroki, Tomomi Ishikawa

数学科

研究成果: Article › 査読

9 被引用数 (Scopus)

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We show that it is possible to construct a quantum field theory that is invariant under the translation of the noncommutative parameter θ_μν. 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.

本文言語	English
ページ（範囲）	872-896
ページ数	25
ジャーナル	Journal of Mathematical Physics
巻	43
号	2
DOI	https://doi.org/10.1063/1.1418428
出版ステータス	Published - 1 2月 2002

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N2 - We show that it is possible to construct a quantum field theory that is invariant under the translation of the noncommutative parameter θμν. 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.

AB - We show that it is possible to construct a quantum field theory that is invariant under the translation of the noncommutative parameter θμν. 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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Noncommutative cohomological field theory and GMS soliton

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