On Nonlinear Gauge Theory from a Deformation Theory Perspective

Details On Nonlinear Gauge Theory from a Deformation Theory Perspective On Nonlinear Gauge Theory from a Deformation Theory Perspective

1999-10-18

arxiv.org/abs/hep-th/9910133v1

Prog.Theor.Phys. 103 (2000) 225-228

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, latex

Scientific paper

10.1143/PTP.103.225

Nonlinear gauge theory is a gauge theory based on a nonlinear Lie algebra (finite W algebra) or a Poisson algebra, which yields a canonical star product for deformation quantization as a correlator on a disk. We pursue nontrivial deformation of topological gauge theory with conjugate scalars in two dimensions. This leads to two-dimensional nonlinear gauge theory exclusively, which implies its essential uniqueness. We also consider a possible extension to higher dimensions.

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