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

Tsukasa Tada

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

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arxiv 1904.12414 v2 pith:JNMVUJA5 submitted 2019-04-29 hep-th cond-mat.stat-mechmath-phmath.MP

Tsukasa Tada This is my paper

classification hep-thcond-mat.stat-mechmath-phmath.MP

keywords conformalcut-offdevelopmentfieldoperatorstimealgebraassociated

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abstract

In this study, we examined consequences of unconventional time development of two-dimensional conformal field theory induced by the $L_{1}$ and $L_{-1}$ 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.

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