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On Nonlinear Gauge Theory from a Deformation Theory Perspective

High Energy Physics - Theory 2009-10-31 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9910133,
  title  = {On Nonlinear Gauge Theory from a Deformation Theory Perspective},
  author = {K. -I. Izawa},
  journal= {arXiv preprint arXiv:hep-th/9910133},
  year   = {2009}
}

Comments

6 pages, latex

R2 v1 2026-07-22T16:17:46.991Z