Noncommutative Cohomological Field Theory and GMS soliton

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.

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

References in corpus (4)

• Noncommutative Field Theory
• Exact Results in Noncommutative $\mathcal{N}=2$ Supersymmetric Gauge Theories
• On non-commutative N=2 super Yang-Mills
• Elongated U(1) Instantons on Noncommutative R^4

Cited by in corpus (9)

• Superfield theory and supermatrix model
• Elongated U(1) Instantons on Noncommutative R^4
• Instanton Number of Noncommutative U(n) gauge theory
• Matrix Models
• Duality in non-commutative gauge theories as a non-perturbative Seiberg-Witten map
• A Noncommutative Deformation of Topological Field Theory
• Partition functions of Supersymmetric Gauge Theories in Noncommutative R^{2D} and their Unified Perspective
• Dimensional Reduction of Seiberg-Witten Monopole Equations, N=2 Noncommutative Supersymmetric Field Theories and Young Diagrams
• Instantons, Fluxons and Open Gauge String Theory