- Physical Review Journals
All JournalsPhysics Magazine

Physical Review Letters

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Integrable Spin Chains in Twisted Maximally Supersymmetric Yang-Mills Theory

Tim Meier*

Stijn J. van Tongeren†

  • *Contact author: tim.meier@usc.es
  • †Contact author: svantongeren@physik.hu-berlin.de
PDF

Phys. Rev. Lett. 136, 051601 – Published 2 February, 2026

DOI: https://doi.org/10.1103/lhfj-cw9d

Abstract

We study an angular dipole deformation of maximally supersymmetric Yang-Mills (SYM) theory that preserves its classical scale invariance. Two-point functions of suitable single trace operators, restricted to an invariant plane, are determined by scaling dimensions computable via an integrable spin chain. This spin chain is a twisted version of the famous integrable spin chain of SYM theory. It matches expectations from the dual string theory perfectly, presenting a precision test of holography in this new setting, and an important step to understanding general twisted integrable AdS/CFT.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (58)

  1. N. Beisert, C. Ahn, L. F. Alday, Z. Bajnok, J. M. Drummond et al., Lett. Math. Phys. 99, 3 (2012).
  2. J. A. Minahan and K. Zarembo, J. High Energy Phys. 03 (2003) 013.
  3. D. Bombardelli, D. Fioravanti, and R. Tateo, J. Phys. A 42, 375401 (2009).
  4. G. Arutyunov and S. Frolov, J. High Energy Phys. 05 (2009) 068.
  5. N. Gromov, V. Kazakov, A. Kozak, and P. Vieira, Lett. Math. Phys. 91, 265 (2010).
  6. F. Levkovich-Maslyuk, J. Phys. A 53, 283004 (2020).
  7. G. Arutyunov and S. Frolov, J. Phys. A 42, 254003 (2009).
  8. T. Bargheer, J. Caetano, T. Fleury, S. Komatsu, and P. Vieira, Phys. Rev. Lett. 121, 231602 (2018).
  9. B. Basso, S. Komatsu, and P. Vieira, arXiv:1505.06745.
  10. B. Basso, A. Sever, and P. Vieira, Phys. Rev. Lett. 111, 091602 (2013).
  11. B. Eden and A. Sfondrini, J. High Energy Phys. 10 (2017) 098.
  12. T. Fleury and S. Komatsu, J. High Energy Phys. 01 (2017) 130.
  13. T. Klose, Lett. Math. Phys. 99, 401 (2012).
  14. F. K. Seibold and A. Sfondrini, arXiv:2408.08414.
  15. B. Hoare, J. Phys. A 55, 093001 (2022).
  16. R. Borsato and E. Malek, J. Phys. A 55, 460301 (2022).
  17. C. Klimcik, J. High Energy Phys. 12 (2002) 051.
  18. C. Klimcik, J. Math. Phys. (N.Y.) 50, 043508 (2009).
  19. F. Delduc, M. Magro, and B. Vicedo, Phys. Rev. Lett. 112, 051601 (2014).
  20. I. Kawaguchi, T. Matsumoto, and K. Yoshida, J. High Energy Phys. 04 (2014) 153.
  21. S. J. van Tongeren, J. High Energy Phys. 06 (2015) 048.
  22. O. Lunin and J. M. Maldacena, J. High Energy Phys. 05 (2005) 033.
  23. S. J. van Tongeren, Nucl. Phys. B904, 148 (2016).
  24. S. J. van Tongeren, Phys. Lett. B 765, 344 (2017).
  25. T. Meier and S. J. van Tongeren, Phys. Rev. Lett. 131, 121603 (2023).
  26. T. Meier and S. J. van Tongeren, J. High Energy Phys. 12 (2023) 045.
  27. N. Beisert and R. Roiban, J. High Energy Phys. 08 (2005) 039.
  28. M. de Leeuw and S. J. van Tongeren, Nucl. Phys. B860, 339 (2012).
  29. S. J. van Tongeren and Y. Zimmermann, SciPost Phys. Core 5, 028 (2022).
  30. A. Bergman and O. J. Ganor, J. High Energy Phys. 10 (2000) 018.
  31. A. Bergman, K. Dasgupta, O. J. Ganor, J. L. Karczmarek, and G. Rajesh, Phys. Rev. D 65, 066005 (2002).
  32. M. Guica, F. Levkovich-Maslyuk, and K. Zarembo, J. Phys. A 50, 394001 (2017).
  33. P. Aschieri, M. Dimitrijevic, P. Kulish, F. Lizzi, and J. Wess, Noncommutative Spacetimes: Symmetries in Noncommutative Geometry and Field Theory, Lect. Notes Phys. (Springer, Berlin Heidelberg, 2009), Vol. 774.
  34. J. Fokken, C. Sieg, and M. Wilhelm, J. High Energy Phys. 07 (2014) 150.
  35. J. Fokken, C. Sieg, and M. Wilhelm, J. Phys. A 47, 455401 (2014).
  36. J. Fokken, C. Sieg, and M. Wilhelm, J. High Energy Phys. 09 (2014) 078.
  37. T. Meier and S. J. van Tongeren (to be published).
  38. T. Meier, Twist-noncommutative field theories and integrability, Ph.D. thesis, Humboldt-Universität zu Berlin, 2025.

  39. The exponential acts differently on the various components in the index free fields.

  40. Up to potential subtleties for short operators due to possible double trace corrections at loop level.

  41. D. Osten and S. J. van Tongeren, Nucl. Phys. B915, 184 (2017).

  42. R1,9 and AdS5×S5 share the isometries used in this TsT transformation.

  43. J. G. Russo, J. High Energy Phys. 09 (2005) 031.
  44. M. Spradlin, T. Takayanagi, and A. Volovich, J. High Energy Phys. 11 (2005) 039.
  45. Z. Bajnok, N. Drukker, A. Hegedüs, R. I. Nepomechie, L. Palla, C. Sieg, and R. Suzuki, J. High Energy Phys. 03 (2014) 055.
  46. S. Frolov, J. High Energy Phys. 05 (2005) 069.
  47. L. F. Alday, G. Arutyunov, and S. Frolov, J. High Energy Phys. 06 (2006) 018.
  48. S. J. Van Tongeren, J. Phys. A 51, 305401 (2018).
  49. R. Borsato, S. Driezen, and J. L. Miramontes, J. High Energy Phys. 04 (2022) 053.
  50. S. J. van Tongeren, J. Phys. A 47, 433001 (2014).
  51. V. Kazakov, S. Leurent, and D. Volin, J. High Energy Phys. 12 (2016) 044.
  52. O. Alvarez, L. A. Ferreira, and J. Sanchez Guillen, Nucl. Phys. B529, 689 (1998).
  53. B. Broda, arXiv:math-ph/0012035.
  54. S. Driezen and N. Kamath, Phys. Lett. B 857, 138971 (2024).
  55. R. Borsato and S. Driezen, Phys. Rev. D 111, 086010 (2025).
  56. S. Driezen and A. Molines, Phys. Rev. D 112, 106001 (2025).
  57. N. Beisert, A. Garus, and M. Rosso, Phys. Rev. Lett. 118, 141603 (2017).
  58. A. Garus, J. High Energy Phys. 10 (2017) 007.

Outline

Information

Phys. Rev. Lett. 136, 051601– Published 2 February, 2026
  • Received 1 September 2025
  • Revised 1 December 2025
  • Accepted 6 January 2026
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation