- Letter
- Open Access
Planar Abelian mirror duals of
Phys. Rev. D 112, L101703 – Published 24 November, 2025
DOI: https://doi.org/10.1103/k5b3-lrnz
Abstract
We propose an Abelian mirror dual for the that we obtain as real mass deformation of known mirror pairs. We match the superconformal index and the partition function, discuss the agreement of the moduli spaces, and provide a map of the gauge invariant operators and the global symmetries as evidence of this duality.
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References (36)
- O. Aharony, A. Hanany, K. Intriligator, N. Seiberg, and M. J. Strassler, Nucl. Phys. B499, 67 (1997).
- J. de Boer, K. Hori, and Y. Oz, Nucl. Phys. B500, 163 (1997).
- K. Intriligator and N. Seiberg, J. High Energy Phys. 07 (2013) 079.
- A. Hanany and K. D. Kennaway, arXiv:hep-th/0503149.
- S. Franco, A. Hanany, D. Vegh, B. Wecht, and K. D. Kennaway, J. High Energy Phys. 01 (2006) 096.
- K. Intriligator and N. Seiberg, Phys. Lett. B 387, 513 (1996).
- A. Hanany and E. Witten, Nucl. Phys. B492, 152 (1997).
- S. Benvenuti, R. Comi, S. Pasquetti, G. Pedde Ungureanu, S. Rota, and A. Shri, J. High Energy Phys. 10 (2025) 211.
- S. Benvenuti, R. Comi, S. Pasquetti, G. Pedde Ungureanu, S. Rota, and A. Shri, arXiv:2506.05465.
- D. Gaiotto and E. Witten, Adv. Theor. Math. Phys. 13, 721 (2008).
- A. Kapustin, B. Willett, and I. Yaakov, J. High Energy Phys. 03 (2010) 089.
- N. Hama, K. Hosomichi, and S. Lee, J. High Energy Phys. 05 (2011) 014.
- Y. Imamura and S. Yokoyama, J. High Energy Phys. 04 (2011) 007.
- A. Kapustin and B. Willett, arXiv:1106.2484.
- D. Tong, J. High Energy Phys. 07 (2000) 019.
The contribution to the shift in CS level is for fermions in the antifundamental representation, and for the fermions in the adjoint chiral.
- F. van de Bult, Ph.D. Thesis, Universiteit van Amsterdam, Amsterdam, Netherlands, 2007.
- F. Benini, C. Closset, and S. Cremonesi, J. High Energy Phys. 10 (2011) 075.
- O. Aharony, S. Razamt, N. Seiberg, and B. Willett, J. High Energy Phys. 07 (2013) 149.
- A. M. Polyakov, Nucl. Phys. B120, 429 (1977).
For , , there is also a single gauge invariant monopole on the electric side. This is mapped to a monopole in the mirror as well. This exception can be easily understood considering that with [4, 0] flavors is the same as with [2, 2] flavors or with four fundamentals, which clearly has a chiral ring monopole and the associated Coulomb branch. For , , from the SCI we detect the presence of a chiral dressed monopole. However, the monopole is nilpotent and there is no Coulomb branch [36].
- B. Feng, A. Hanany, and Y. H. He, J. High Energy Phys. 03 (2007) 090.
- S. Benvenuti, B. Feng, A. Hanany, and Y. H. He, J. High Energy Phys. 11 (2007) 050.
- J. Gray, A. Hanany, Y. H. He, V. Jejjala, and N. Mekareeya, J. High Energy Phys. 05 (2008) 099.
- F. Benini, C. Closset, and S. Cremonesi, J. High Energy Phys. 09 (2011) 005.
- D. L. Jafferis, J. High Energy Phys. 05 (2012) 159.
- C. Hwang, S. Pasquetti, and M. Sacchi, Phys. Rev. D 106, 105014 (2022).
- R. Comi, C. Hwang, F. Marino, S. Pasquetti, and M. Sacchi, J. High Energy Phys. 06 (2023) 119.
- S. Benvenuti, R. Comi, and S. Pasquetti, J. High Energy Phys. 10 (2024) 234.
- S. Benvenuti and S. Giacomelli, J. High Energy Phys. 10 (2017) 173.
- S. Benvenuti and S. Giacomelli, J. High Energy Phys. 10 (2017) 106.
- S. Benvenuti and S. Giacomelli, Phys. Rev. Lett. 119, 251601 (2017).
Generically, real masses for the other fundamental fields correspond to different mirror dual frames for (12).
- A. Kapustin and M. J. Strassler, J. High Energy Phys. 04 (1999) 021.
- E. Witten, arXiv:hep-th/0307041.
- O. Aharony, P. Narayan, and T. Sharma, J. High Energy Phys. 05 (2015) 117.