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Analysis for Lorentzian conformal field theories through sine-square deformation

High Energy Physics - Theory 2020-07-01 v1 Statistical Mechanics Mathematical Physics math.MP

Abstract

We reexamine two-dimensional Lorentzian conformal field theory using the formalism previously developed in a study of sine-square deformation of Euclidean conformal field theory. We construct three types of Virasoro algebra. One of them reproduces the result by L\"uscher and Mack, while another type exhibits the divergence in the central charge term. The other leads the continuous spectrum and contains no closed time-like curve in the system.

Keywords

Cite

@article{arxiv.2004.01930,
  title  = {Analysis for Lorentzian conformal field theories through sine-square deformation},
  author = {Xun Liu and Tsukasa Tada},
  journal= {arXiv preprint arXiv:2004.01930},
  year   = {2020}
}