Journal Article

PUBDB-2026-00956

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability

Fabri, M. ; Sfondrini, A. (Corresponding author)Extern* ; Skrzypek, T.DESY*

2026
IOP Publ. Bristol

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Please use a persistent id in citations: doi:10.1088/1751-8121/ae2e5f  doi:10.3204/PUBDB-2026-00956

Report No.: DESY-25-064; arXiv:2504.13091

Abstract: We study the marginal deformation of the symmetric-product orbifold theory Sym$_N(T^4)$ which corresponds to introducing a small amount of Ramond–Ramond flux into the dual $AdS_3\times S^3\times T^4$ 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 $\mathscr{N} = 4$ 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.

Keyword(s): AdS/CFT ; integrable models ; conformal perturbation theory ; CFT2

Note: ISSN 1751-8121 not unique: **3 hits**.42 pages, 1 attached Wolfram Mathematica notebook; v2: expanded discussion of Gaberdiel-Gopakumar-Nairz; v3: as published

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. SFB 1624 B02 - Konforme Mannigfaltigkeiten und tt∗-Geometrie (B02) (531726746) (531726746)
3. DFG project G:(GEPRIS)390833306 - EXC 2121: Das Quantisierte Universum II (390833306) (390833306)
4. DFG project G:(GEPRIS)506632645 - SFB 1624: Höhere Strukturen, Modulräume und Integrabilität (506632645) (506632645)
5. BrokenSymmetries - Exact Results from Broken Symmetries (101044226) (101044226)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2026

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; National-Konsortium ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Fabri, M. ; Sfondrini, A. ; Skrzypek, T. (Corresponding author)DESY*
Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
[10.3204/PUBDB-2025-01376]     Files  Fulltext Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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