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
  • Letter
  • Open Access

Dressing factors for mixed-flux AdS3×S3×T4 superstrings

Sergey Frolov*

Davide Polvara†

Alessandro Sfondrini‡

  • *Contact author: frolovs@maths.tcd.ie
  • †Contact author: davide.polvara@desy.de
  • ‡Contact author: alessandro.sfondrini@unipd.it; MATRIX Simons Fellow.

Phys. Rev. D 111, L081901 – Published 7 April, 2025

DOI: https://doi.org/10.1103/PhysRevD.111.L081901

Abstract

We propose the dressing factors for the scattering of massive particles on the worldsheet of mixed-flux AdS3×S3×T4 superstrings, in the string and mirror kinematics. The proposal passes all self-consistency checks in the both kinematics, including for bound states. It matches with perturbative and semiclassical computations from the string sigma model, and with its relativistic limit.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (46)

  1. J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).
  2. G. Arutyunov and S. Frolov, J. Phys. A 42, 254003 (2009).
  3. N. Beisert et al., Lett. Math. Phys. 99, 3 (2012).
  4. A. Sfondrini, J. Phys. A 48, 023001 (2015).
  5. A. Cagnazzo and K. Zarembo, J. High Energy Phys. 11 (2012) 133; 04 (2013) 003(E).
  6. B. Hoare and A. Tseytlin, Nucl. Phys. B873, 395 (2013).
  7. T. Lloyd, O. Ohlsson Sax, A. Sfondrini, and B. Stefański, Jr., Nucl. Phys. B891, 570 (2015).
  8. G. Arutyunov, S. Frolov, and M. Staudacher, J. High Energy Phys. 10 (2004) 016.
  9. R. A. Janik, Phys. Rev. D 73, 086006 (2006).
  10. N. Beisert, B. Eden, and M. Staudacher, J. Stat. Mech. 01 (2007) P01021.
  11. J. M. Maldacena and H. Ooguri, J. Math. Phys. (N.Y.) 42, 2929 (2001).
  12. M. Cho, S. Collier, and X. Yin, J. High Energy Phys. 12 (2020) 123.
  13. S. Demulder, S. Driezen, B. Knighton, G. Oling, A. L. Retore, F. K. Seibold, A. Sfondrini, and Z. Yan, J. Phys. A 57, 423001 (2024).
  14. S. Frolov and A. Sfondrini, J. High Energy Phys. 04 (2022) 162.
  15. M. Baggio and A. Sfondrini, Phys. Rev. D 98, 021902 (2018).
  16. A. Dei and A. Sfondrini, J. High Energy Phys. 07 (2018) 109.
  17. S. Frolov and A. Sfondrini, J. High Energy Phys. 03 (2022) 138.
  18. A. Brollo, D. le Plat, A. Sfondrini, and R. Suzuki, Phys. Rev. Lett. 131, 161604 (2023).
  19. A. Brollo, D. le Plat, A. Sfondrini, and R. Suzuki, J. High Energy Phys. 12 (2023) 160.
  20. S. Frolov, A. Pribytok, and A. Sfondrini, J. High Energy Phys. 09 (2023) 027.
  21. S. Ekhammar and D. Volin, J. High Energy Phys. 03 (2022) 192.
  22. A. Cavaglià, N. Gromov, B. Stefański, Jr., and A. Torrielli, J. High Energy Phys. 12 (2021) 048.
  23. A. Cavaglià, S. Ekhammar, N. Gromov, and P. Ryan, J. High Energy Phys. 12 (2023) 089.
  24. S. Frolov, D. Polvara, and A. Sfondrini, J. High Energy Phys. 11 (2023) 055.
  25. N. Beisert, R. Hernández, and E. López, J. High Energy Phys. 11 (2006) 070.
  26. O. Ohlsson Sax, D. Riabchenko, and B. Stefański, Jr., J. High Energy Phys. 09 (2024) 132.
  27. B. Hoare, A. Stepanchuk, and A. Tseytlin, Nucl. Phys. B879, 318 (2014).
  28. D. E. Berenstein, J. M. Maldacena, and H. S. Nastase, J. High Energy Phys. 04 (2002) 013.
  29. B. Hoare and A. A. Tseytlin, Nucl. Phys. B873, 682 (2013).
  30. O. T. Engelund, R. W. McKeown, and R. Roiban, J. High Energy Phys. 08 (2013) 023.
  31. A. Babichenko, A. Dekel, and O. Ohlsson Sax, J. High Energy Phys. 11 (2014) 122.
  32. L. Bianchi and B. Hoare, J. High Energy Phys. 08 (2014) 097.
  33. R. Roiban, P. Sundin, A. Tseytlin, and L. Wulff, J. High Energy Phys. 08 (2014) 160.
  34. P. Sundin and L. Wulff, J. Phys. A 48, 105402 (2015).
  35. A. Stepanchuk, J. Phys. A 48, 195401 (2015).
  36. G. Arutyunov and S. Frolov, J. High Energy Phys. 12 (2007) 024.
  37. N. Baglioni, D. Polvara, A. Pone, and A. Sfondrini, J. High Energy Phys. 05 (2024) 237.
  38. G. Arutyunov and S. Frolov, J. Phys. A 42, 425401 (2009).
  39. R. Hernández and E. López, J. High Energy Phys. 07 (2006) 004.
  40. G. Arutyunov and S. Frolov, Phys. Lett. B 639, 378 (2006).
  41. N. Dorey, D. M. Hofman, and J. M. Maldacena, Phys. Rev. D 76, 025011 (2007).
  42. R. Borsato, O. Ohlsson Sax, A. Sfondrini, B. Stefański, Jr., and A. Torrielli, Phys. Rev. D 88, 066004 (2013).
  43. A. Fontanella and A. Torrielli, J. High Energy Phys. 06 (2019) 116.
  44. S. Frolov, D. Polvara, and A. Sfondrini, arXiv:2501.05995.
  45. L. Castillejo, R. H. Dalitz, and F. J. Dyson, Phys. Rev. 101, 453 (1956).
  46. F. K. Seibold and A. Sfondrini, arXiv:2408.08414.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation