- Physical Review Journals
All JournalsPhysics Magazine

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

Duality of four dimensional N=1 gauge theory

Yuanyuan Fang, Jing Feng, and Dan Xie

PDF

Phys. Rev. D 112, 125009 – Published 4 December, 2025

DOI: https://doi.org/10.1103/dfdy-ybph

Abstract

We show that the Seiberg-type duality of N=1 gauge theory coupled with tensor chiral fields and fundamental chiral fields works if the meson spectrum built from the tensor fields takes a particular form: (a) It should be truncated. (b) The R charges of tensor fields {Ra} and the truncated mesons {Rj} take very special values. The meson spectrum so that the duality works is encoded elegantly in the factorization of the polynomial yn−1=Φ+Φ−. Our consideration covers many known N=1 dualities and generates a large class of new examples.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (33)

  1. N. Seiberg, Electric—magnetic duality in supersymmetric non-Abelian gauge theories, Nucl. Phys. B435, 129 (1995).
  2. K. A. Intriligator and N. Seiberg, Lectures on supersymmetric gauge theories and electric-magnetic duality, Nucl. Phys. B, Proc. Suppl. 45BC, 1 (1996).
  3. D. Kutasov, A Comment on duality in N=1 supersymmetric non-Abelian gauge theories, Phys. Lett. B 351, 230 (1995).
  4. D. Kutasov and A. Schwimmer, On duality in supersymmetric Yang-Mills theory, Phys. Lett. B 354, 315 (1995).
  5. J. H. Brodie, Duality in supersymmetric SU(Nc) gauge theory with two adjoint chiral superfields, Nucl. Phys. B478, 123 (1996).
  6. K. A. Intriligator, R. G. Leigh, and M. J. Strassler, New examples of duality in chiral and nonchiral supersymmetric gauge theories, Nucl. Phys. B456, 567 (1995).
  7. K. A. Intriligator and N. Seiberg, Duality, monopoles, dyons, confinement and oblique confinement in supersymmetric SU(Nc) gauge theories, Nucl. Phys. B444, 125 (1995).
  8. P. Pouliot, Duality in SUSY SU(N) with an antisymmetric tensor, Phys. Lett. B 367, 151 (1996).
  9. J. H. Brodie and M. J. Strassler, Patterns of duality in N=1 SUSY gauge theories, or: Seating preferences of theater going nonAbelian dualities, Nucl. Phys. B524, 224 (1998).
  10. P. Pouliot and M. J. Strassler, A Chiral SU(N) gauge theory and its nonchiral Spin(8) dual, Phys. Lett. B 370, 76 (1996).
  11. P. Pouliot and M. J. Strassler, Duality and dynamical supersymmetry breaking in Spin(10) with a spinor, Phys. Lett. B 375, 175 (1996).
  12. D. Kutasov and J. Lin, Exceptional N=1 duality, arXiv:1401.4168.
  13. K. A. Intriligator and B. Wecht, RG fixed points and flows in SQCD with adjoints, Nucl. Phys. B677, 223 (2004).
  14. D. Kutasov and J. Lin, N=1 duality and the superconformal index, arXiv:1402.5411.
  15. B. Bajc, Kutasov-Seiberg dualities and cyclotomic polynomials, J. High Energy Phys. 06 (2019) 083.
  16. F. Dolan and H. Osborn, Applications of the superconformal index for protected operators and q-hypergeometric identities to N=1 dual theories, Nucl. Phys. B818, 137 (2009).
  17. V. P. Spiridonov and G. S. Vartanov, Elliptic hypergeometry of supersymmetric dualities, Commun. Math. Phys. 304, 797 (2011).
  18. D. Anselmi, D. Z. Freedman, M. T. Grisaru, and A. A. Johansen, Nonperturbative formulas for central functions of supersymmetric gauge theories, Nucl. Phys. B526, 543 (1998).
  19. Y. Fang, J. Feng, and D. Xie, On duality of four dimensional N=1 gauge theory, Zenodo, 10.5281/zenodo.17174948 (2025).
  20. J. Banks and H. Georgi, Comment on gauge theories without anomalies, Phys. Rev. D 14, 1159 (1976).
  21. E. Witten, An SU(2) anomaly, Phys. Lett. 117B, 324 (1982).
  22. H. Weyl, The Classical Groups: Their Invariants and Representations (Princeton University Press, Princeton, NJ, 1946), Vol. 45.
  23. P. Pouliot, Chiral duals of nonchiral SUSY gauge theories, Phys. Lett. B 359, 108 (1995).
  24. C. Csaki, M. Schmaltz, W. Skiba, and J. Terning, Selfdual N=1 SUSY gauge theories, Phys. Rev. D 56, 1228 (1997).
  25. A. Hook, New self dualities and duality cascades, Phys. Rev. D 89, 086009 (2014).
  26. S. B. Giddings and J. M. Pierre, Some exact results in supersymmetric theories based on exceptional groups, Phys. Rev. D 52, 6065 (1995).
  27. P. Ramond, Superalgebras in N=1 gauge theories, Phys. Lett. B 390, 179 (1997).
  28. J. Distler and A. Karch, N=1 dualities for exceptional gauge groups and quantum global symmetries, Fortschr. Phys. 45, 517 (1997).
  29. D. Xie and M. Yamazaki, Network and Seiberg duality, J. High Energy Phys. 09 (2012) 036.
  30. Y. Fang, J. Feng, and D. Xie, Three-dimensional quotient singularity and 4D N=1 AdS/CFT correspondence, arXiv:2310.15792.
  31. Y. Fang, J. Feng, and D. Xie (to be published).
  32. D. Xie, Soft supersymmetry breaking of 4D N=2 SCFT, Phys. Rev. D 112, 065003 (2025).
  33. V. Popov, T. Springer, and E. Vinberg, Algebraic Geometry IV: Linear Algebraic Groups Invariant Theory (Springer Science & Business Media, New York, 2012), Vol. 55.

Outline

Information

Phys. Rev. D 112, 125009– Published 4 December, 2025
  • Received 22 September 2025
  • Accepted 11 November 2025
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