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Twisted Conformal Symmetry in Noncommutative Two-Dimensional Quantum Field Theory

High Energy Physics - Theory 2008-11-26 v2 Mathematical Physics math.MP Quantum Algebra

Abstract

By twisting the commutation relations between creation and annihilation operators, we show that quantum conformal invariance can be implemented in the 2-d Moyal plane. This is an explicit realization of an infinite dimensional symmetry as a quantum algebra.

Keywords

Cite

@article{arxiv.hep-th/0601056,
  title  = {Twisted Conformal Symmetry in Noncommutative Two-Dimensional Quantum Field Theory},
  author = {Fedele Lizzi and Sachindeo Vaidya and Patrizia Vitale},
  journal= {arXiv preprint arXiv:hep-th/0601056},
  year   = {2008}
}

Comments

10 pages. Text enlarged. References added