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Defining Root-Toverline{T} operator

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arxiv 2405.17945 v3 pith:CUQMLWIB submitted 2024-05-28 hep-th

Defining Root-Toverline{T} operator

classification hep-th
keywords operatordefinitionpropertiesroot-assumescertaincomputationconformal
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We give a tentative definition of the recently introduced Root-$T\bar{T}$ operator in a generic, two dimensional quantum conformal field theory with continuous spectrum of scaling weights. The definition assumes certain factorization properties and uses Schwinger parametrization to introduce the square root. Properties of the operator thus defined are investigated by explicit computation of variations of two- and three-point correlation functions.

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Cited by 2 Pith papers

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

  1. On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT

    hep-th 2026-01 unverdicted novelty 7.0

    The marginal √(T T-bar) deformation of 2D massless scalars provides a dynamical map from relativistic CFT to Carrollian CCFT symmetries, recovering the electric Carroll theory and a novel magnetic counterpart in the e...

  2. Correlators in $T\bar{T}$ and Root-$T\bar{T}$ Deformed CFTs

    hep-th 2026-04 unverdicted novelty 6.0

    Deformed two-point correlators in mixed TbarT/root-TbarT CFTs admit an explicit kernel representation as weighted averages of undeformed CFT correlators over conformal dimensions, with the two-point function obtained ...