English

Wick Type Symbol and Deformed Algebra of Exterior Forms

High Energy Physics - Theory 2007-05-23 v2 Quantum Algebra

Abstract

The covariant descripion is constructed for the Wick-type symbols on symplectic manifolds by means of the Fedosov procedure. The geometry of the manifolds admitting this symbol is explored. The superextended version of the Wick-type star-product is introduced and a possible application of the construction to the noncommutative field theory is discussed.

Keywords

Cite

@article{arxiv.hep-th/0010029,
  title  = {Wick Type Symbol and Deformed Algebra of Exterior Forms},
  author = {V. A. Dolgushev and S. L. Lyakhovich and A. A. Sharapov},
  journal= {arXiv preprint arXiv:hep-th/0010029},
  year   = {2007}
}

Comments

Talk given at the International Conference "Quantization, Gauge Theory and Strings" dedicated to the memory of Professor E.S. Fradkin