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Systematic approach to correlators in $T\bar{T}$ deformed CFTs

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arxiv 2310.20516 v2 pith:C4U6AMAQ submitted 2023-10-31 hep-th

Song He , Yuan Sun , Jiashi Yin This is my paper · ORCID
classification hep-th
keywords correlatorscorrectionsmethodcftsconservationdeformationgeneralhigher-order
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We investigate higher-order corrections to correlators in a general CFT (conformal field theory) with the double-trace $T\bar{T}$ deformation. Standard perturbation theory proves inadequate for this problem due to the intricate stress-tensor flow induced by the deformation. To tackle this challenge, we introduce a novel technique termed the conservation equation method. This method leverages the stress tensor's trace relation and conservation property to establish relationships between higher and lower-order corrections, and subsequently determine the correlators by enforcing symmetry properties. As an illustration, we compute first- and higher-order corrections to various types of correlators. Our results align with existing calculations in the literature and demonstrate the viability of our method for general CFTs.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. $T\bar{T}$-deformed correlators from a 2D gravity description

    hep-th 2025-07 conditional novelty 6.0 of 10

    Using a massive gravity formulation, the paper derives all-order leading-logarithmic T-bar-T corrections to two- and three-point CFT correlators, reproducing the known two-point result and obtaining a new closed form ...

  2. Finite-cutoff Holographic Thermodynamics

    hep-th 2025-07 conditional novelty 6.0 of 10

    Finite-cutoff holography yields a thermodynamic duality between T^2-deformed CFTs and Schwarzschild-AdS black holes with a Dirichlet wall, including a teardrop coexistence curve with up to three states at one temperature.

  3. Symmetries and operators in $T\bar{T}$ deformed CFTs

    hep-th 2025-07 conditional novelty 5.0 of 10

    A new class of local physical operators is constructed in T-bar-deformed CFTs, and their two-point functions reproduce known string theory and field theory results.

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