- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

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
  • Access by Xinjiang University

Demystifying stringy miracles with eclectic flavor symmetries

V. Knapp-Pérez1,*, Xiang-Gan Liu1,†, Hans Peter Nilles2,‡, and Saúl Ramos-Sánchez3,§

  • *Contact author: vknapppe@uci.edu
  • †Contact author: xianggal@uci.edu
  • ‡Contact author: nilles@uni-bonn.de
  • §Contact author: ramos@fisica.unam.mx
PDF

Phys. Rev. D 113, 106015 – Published 18 May, 2026

DOI: https://doi.org/10.1103/p6p2-46s1

Abstract

Effective field theories arising from string compactifications are subject to constraints originating from the duality transformations of string theory. Interpreting these so-called selection rules in terms of conventional symmetries has remained challenging. We show that particular selection rules in heterotic orbifolds can be explained from a subtle interplay between modular and traditional flavor symmetries within the eclectic flavor framework.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (25)

  1. S. Hamidi and C. Vafa, Nucl. Phys. B279, 465 (1987).
  2. L. J. Dixon, D. Friedan, E. J. Martinec, and S. H. Shenker, Nucl. Phys. B282, 13 (1987).
  3. A. Font, L. E. Ibáñez, H. P. Nilles, and F. Quevedo, Nucl. Phys. B307, 109 (1988); B310, 764(E) (1988).
  4. A. Font, L. E. Ibáñez, H. P. Nilles, and F. Quevedo, Phys. Lett. B 213, 274 (1988).
  5. H. P. Nilles, S. Ramos-Sánchez, and P. K. Vaudrevange, J. High Energy Phys. 02 (2020) 045.
  6. H. P. Nilles, S. Ramos-Sánchez, and P. K. S. Vaudrevange, Nucl. Phys. B957, 115098 (2020).
  7. A. Baur, H. P. Nilles, A. Trautner, and P. K. S. Vaudrevange, Phys. Lett. B 795, 7 (2019).
  8. L. E. Ibáñez, H. P. Nilles, and F. Quevedo, Phys. Lett. B 187, 25 (1987).
  9. T. Kobayashi, S. L. Parameswaran, S. Ramos-Sánchez, and I. Zavala, J. High Energy Phys. 05 (2012) 008.
  10. S. Groot Nibbelink and P. K. S. Vaudrevange, J. High Energy Phys. 04 (2017) 030.
  11. J. Lauer, J. Mas, and H. P. Nilles, Phys. Lett. B 226, 251 (1989).
  12. W. Lerche, D. Lüst, and N. P. Warner, Phys. Lett. B 231, 417 (1989).
  13. E. J. Chun, J. Mas, J. Lauer, and H. P. Nilles, Phys. Lett. B 233, 141 (1989).
  14. The GAP Group, GAP—Groups, Algorithms, and Programming, Version 4.15.1 (2025), https://www.gap-system.org.
  15. T. Kobayashi, H. P. Nilles, F. Plöger, S. Raby, and M. Ratz, Nucl. Phys. B768, 135 (2007).
  16. M.-C. Chen, M. Ratz, and A. Trautner, J. High Energy Phys. 09 (2013) 096.
  17. A. Baur, H. P. Nilles, A. Trautner, and P. K. S. Vaudrevange, Nucl. Phys. B947, 114737 (2019).
  18. H. P. Nilles, S. Ramos–Sánchez, and P. K. S. Vaudrevange, Phys. Lett. B 808, 135615 (2020).
  19. X. Li, X.-G. Liu, H. P. Nilles, M. Ratz, and A. Stewart, J. High Energy Phys. 09 (2025) 026.
  20. X.-G. Liu and G.-J. Ding, J. High Energy Phys. 08 (2019) 134.
  21. D. Bailin, A. Love, W. A. Sabra, and S. Thomas, Mod. Phys. Lett. A 09, 1229 (1994).
  22. B. Carballo-Pérez, E. Peinado, and S. Ramos-Sánchez, J. High Energy Phys. 12 (2016) 131.
  23. A. Baur, H. P. Nilles, S. Ramos-Sánchez, A. Trautner, and P. K. S. Vaudrevange, J. High Energy Phys. 09 (2022) 224.
  24. X.-G. Liu and G.-J. Ding, J. High Energy Phys. 03 (2022) 123.
  25. H. Ishimori, T. Kobayashi, H. Ohki, Y. Shimizu, H. Okada, and M. Tanimoto, Prog. Theor. Phys. Suppl. 183, 1 (2010).

Outline

Information

Phys. Rev. D 113, 106015– Published 18 May, 2026
  • Received 29 December 2025
  • Accepted 21 April 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