English

Time development of conformal field theories associated with $L_{1}$ and $L_{-1}$ operators

High Energy Physics - Theory 2020-08-26 v2 Statistical Mechanics Mathematical Physics math.MP

Abstract

In this study, we examined consequences of unconventional time development of two-dimensional conformal field theory induced by the L1L_{1} and L1L_{-1} operators, employing the formalism previously developed in a study of sine-square deformation. We discovered that the retainment of the Virasoro algebra requires the presence of a cut-off near the fixed points. The introduction of a scale by the cut-off makes it possible to recapture the formula for entanglement entropy in a natural and straightforward manner.

Keywords

Cite

@article{arxiv.1904.12414,
  title  = {Time development of conformal field theories associated with $L_{1}$ and $L_{-1}$ operators},
  author = {Tsukasa Tada},
  journal= {arXiv preprint arXiv:1904.12414},
  year   = {2020}
}