Genus two correlation functions in CFTs with TT deformation

He, Song; Li, Yun-Ze

doi:10.1007/s11433-022-2049-1

アイテム詳細

登録内容を編集ファイル形式で保存

一時保存へ追加

タグ情報を表示リリース履歴を表示詳細要約

公開

学術論文

Genus two correlation functions in CFTs with TT deformation

MPS-Authors

/persons/resource/persons2717

He, Song
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource

There are no locators available

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

フルテキスト (公開)

2202.04810.pdf
(プレプリント), 2MB

付随資料 (公開)

There is no public supplementary material available

引用

He, S., & Li, Y.-Z. (2023). Genus two correlation functions in CFTs with TT deformation. Science China Physics, Mechanics & Astronomy, 66:. doi:10.1007/s11433-022-2049-1.

引用: https://hdl.handle.net/21.11116/0000-0009-FA59-A

要旨

We construct the correlation functions of conformal field theories (CFTs) on
genus two Riemann surface with the $T\bar{T}$ deformation in terms of
perturbative CFT approach. Thanks to sewing construction to form higher genus
Riemann surface from lower genus ones and conformal symmetry, we systematically
obtain the first order $T\bar{T}$ correction to the higher genus correlation
functions in the $T\bar{T}$ deformed CFTs, e.g. partition function and
one/higher-point correlation functions. In the weak coupling limit, the higher
genus correlation functions can be decomposed by lower genus correlation
functions. Our results offer $T\bar{T}$ deformed field theories data to allow
us to extract quantum chaos signals and multiple-interval R\'{e}nyi entropies
in deformed field theories.