Work

Correlation functions, entanglement and chaos in the $$ T\overline{T}/J\overline{T} $$-deformed CFTs

Year: 2020

Type: article

Abstract: In this paper, we regard the $$ T\overline{T}/J\overline{T} $$ T T ¯ / J T ¯ -deformed CFTs as perturbation theories and calculate the first order correction of the correlation functions due to the $$ T\overline{T}/J\overline{T} $$ T T ¯ / J T ¯ deformation. As applications, we study the Rényi entanglement entropy of excited state in the $$ T\overline{T}/J\overline{T} $$ T T ¯ / J T ¯ -deformed two-dimensional CFTs. We find, up to the first order perturbation of the deformation, the Rényi entanglement entropy of locally excited states will acquire a nontrivial time dependence. The excess of the Rényi entanglement entropy of locally excited state is changed up to order O(c). Furthermore, the out of time ordered correlation function is investigated to confirm that the $$ T\overline{T}/J\overline{T} $$ T T ¯ / J T ¯ -deformations do not change the maximal chaotic behavior of holographic CFTs up to the first order of the deformations.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep02(2020)088

Authors: Song He, Hongfei Shu

Institutions: Jilin University, Max Planck Institute for Gravitational Physics, Tokyo Institute of Technology

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Sun Yat-sen University, South China Normal University, Jilin University, Yukawa Institute for Theoretical Physics, Kyoto University

Award: G7469442343