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Genus Two Correlation Functions in CFTs with Tbar{T} Deformation

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arxiv 2202.04810 v3 pith:KVX5T43T submitted 2022-02-10 hep-th math-phmath.MP

Genus Two Correlation Functions in CFTs with Tbar{T} Deformation

classification hep-th math-phmath.MP
keywords genuscorrelationdeformationfunctionsriemanncftssurfacesconformal
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Since the definition of $T\bar{T}$ deformation in the curved Riemann surface is obstructive in the literature, we propose a way to do the deformation in the genus two Riemann surfaces by sewing prescription. We construct the correlation functions of conformal field theories (CFTs) on genus two Riemann surfaces with the $T\bar{T}$ deformation in terms of the perturbative CFT approach. Thanks to sewing construction to form higher genus Riemann surfaces from lower genus ones and conformal symmetry, we systematically obtain the first order $T\bar{T}$ correction to the genus two correlation functions in the $T\bar{T}$ deformed CFTs, e.g., partition function and one/higher-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. $\boldsymbol{T\overline{T}}$ correlators from tensionless strings

    hep-th 2026-06 unverdicted novelty 6.0

    Constructs deformed vertex operators in a topological string description of T T-bar deformed tensionless AdS3/CFT2 and computes their exact tree-level two-point functions.

  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 ...