Preprint PUBDB-2025-01376

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

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2025

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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.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.


Note: 38 pages, 1 attached Wolfram Mathematical notebook

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: Quantum Universe (390833306) (390833306)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2025
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Creative Commons Attribution CC BY 4.0 ; OpenAccess ; Published
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http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article  ;  ;
Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
Journal of physics / A 59(1), 015201 () [10.1088/1751-8121/ae2e5f]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2025-04-16, last modified 2026-03-15