Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability

Matheus Fabri; Alessandro Sfondrini; Torben Skrzypek

doi:10.1088/1751-8121/ae2e5f

Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability

Matheus Fabri
, Alessandro Sfondrini^*
, Torben Skrzypek

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study the marginal deformation of the symmetric-product orbifold theory Sym_N(T⁴) which corresponds to introducing a small amount of Ramond–Ramond flux into the dual AdS₃ × S³ × T⁴ background. Already at first order in perturbation theory, the dimension of certain single-cycle operators is corrected, indicating that wrapping corrections from integrability must come into play earlier than expected. Our results provide a test for integrability computations from the mirror thermodynamic Bethe ansatz or Quantum Spectral Curve, akin to the computation of the Konishi anomalous dimension in

Nscript cap N

𝒩

= 4 supersymmetric Yang–Mills theory. We also discuss a flaw in the original derivation of the integrable structure of the perturbed orbifold. Together, these observations suggest that more needs to be done to correctly identify and exploit the integrable structure of the perturbed orbifold CFT.

Original language	English
Article number	015201
Number of pages	33
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	59
Issue number	1
Early online date	30 Dec 2025
DOIs	https://doi.org/10.1088/1751-8121/ae2e5f
Publication status	Published - 9 Jan 2026

Keywords

integrable models
AdS/CFT
conformal perturbation theory
CFT2

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title = "Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability",

abstract = "We study the marginal deformation of the symmetric-product orbifold theory SymN(T4) which corresponds to introducing a small amount of Ramond–Ramond flux into the dual AdS3 × S3 × T4 background. Already at first order in perturbation theory, the dimension of certain single-cycle operators is corrected, indicating that wrapping corrections from integrability must come into play earlier than expected. Our results provide a test for integrability computations from the mirror thermodynamic Bethe ansatz or Quantum Spectral Curve, akin to the computation of the Konishi anomalous dimension in Nscript cap N𝒩 = 4 supersymmetric Yang–Mills theory. We also discuss a flaw in the original derivation of the integrable structure of the perturbed orbifold. Together, these observations suggest that more needs to be done to correctly identify and exploit the integrable structure of the perturbed orbifold CFT.",

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author = "Matheus Fabri and Alessandro Sfondrini and Torben Skrzypek",

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T1 - Perturbed symmetric-product orbifold

T2 - first-order mixing and puzzles for integrability

AU - Fabri, Matheus

AU - Sfondrini, Alessandro

AU - Skrzypek, Torben

PY - 2026/1/9

Y1 - 2026/1/9

N2 - We study the marginal deformation of the symmetric-product orbifold theory SymN(T4) which corresponds to introducing a small amount of Ramond–Ramond flux into the dual AdS3 × S3 × T4 background. Already at first order in perturbation theory, the dimension of certain single-cycle operators is corrected, indicating that wrapping corrections from integrability must come into play earlier than expected. Our results provide a test for integrability computations from the mirror thermodynamic Bethe ansatz or Quantum Spectral Curve, akin to the computation of the Konishi anomalous dimension in Nscript cap N𝒩 = 4 supersymmetric Yang–Mills theory. We also discuss a flaw in the original derivation of the integrable structure of the perturbed orbifold. Together, these observations suggest that more needs to be done to correctly identify and exploit the integrable structure of the perturbed orbifold CFT.

AB - We study the marginal deformation of the symmetric-product orbifold theory SymN(T4) which corresponds to introducing a small amount of Ramond–Ramond flux into the dual AdS3 × S3 × T4 background. Already at first order in perturbation theory, the dimension of certain single-cycle operators is corrected, indicating that wrapping corrections from integrability must come into play earlier than expected. Our results provide a test for integrability computations from the mirror thermodynamic Bethe ansatz or Quantum Spectral Curve, akin to the computation of the Konishi anomalous dimension in Nscript cap N𝒩 = 4 supersymmetric Yang–Mills theory. We also discuss a flaw in the original derivation of the integrable structure of the perturbed orbifold. Together, these observations suggest that more needs to be done to correctly identify and exploit the integrable structure of the perturbed orbifold CFT.

KW - integrable models

KW - AdS/CFT

KW - conformal perturbation theory

KW - CFT2

U2 - 10.1088/1751-8121/ae2e5f

DO - 10.1088/1751-8121/ae2e5f

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JF - Journal of Physics A: Mathematical and Theoretical

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ER -

Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability

Abstract

Keywords

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