Abstract
We apply the technique of sequential deconfinement to the four dimensional \( \mathcal{N} \) = 1 U sp(2N) gauge theory with an antisymmetric field and 2F fundamentals. The fully deconfined frame is a length-N quiver. We use this deconfined frame to prove the known self-duality of U sp(2N) with an antisymmetric field and 8 fundamentals. Along the way we encounter a subtlety: in certain quivers with degenerate holomorphic operators, a naive application of Seiberg duality rules leads to an incorrect superpotential or chiral ring.
We also consider the reduction to 3d \( \mathcal{N} \) = 2 theories, recovering known fully deconfined duals of U sp(2N) and U(N) gauge theories, and obtaining new ones.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
N. Seiberg, Electric-magnetic duality in supersymmetric nonAbelian gauge theories, Nucl. Phys. B 435 (1995) 129 [hep-th/9411149] [INSPIRE].
K. A. Intriligator and P. Pouliot, Exact superpotentials, quantum vacua and duality in supersymmetric SP(Nc) gauge theories, Phys. Lett. B 353 (1995) 471 [hep-th/9505006] [INSPIRE].
O. Aharony, IR duality in d = 3 N = 2 supersymmetric USp(2Nc) and U(Nc) gauge theories, Phys. Lett. B 404 (1997) 71 [hep-th/9703215] [INSPIRE].
S. Pasquetti and M. Sacchi, From 3d dualities to 2d free field correlators and back, JHEP 11 (2019) 081 [arXiv:1903.10817] [INSPIRE].
S. Pasquetti and M. Sacchi, 3d dualities from 2d free field correlators: recombination and rank stabilization, JHEP 01 (2020) 061 [arXiv:1905.05807] [INSPIRE].
N. Aghaei, A. Amariti and Y. Sekiguchi, Notes on Integral Identities for 3d Supersymmetric Dualities, JHEP 04 (2018) 022 [arXiv:1709.08653] [INSPIRE].
S. Benvenuti, A tale of exceptional 3d dualities, JHEP 03 (2019) 125 [arXiv:1809.03925] [INSPIRE].
A. Amariti and L. Cassia, USp(2Nc) SQCD3 with antisymmetric: dualities and symmetry enhancements, JHEP 02 (2019) 013 [arXiv:1809.03796] [INSPIRE].
S. Benvenuti, I. Garozzo and G. Lo Monaco, Sequential deconfinement in 3d \( \mathcal{N} \) = 2 gauge theories, JHEP 07 (2021) 191 [arXiv:2012.09773] [INSPIRE].
F. Benini, S. Benvenuti and S. Pasquetti, SUSY monopole potentials in 2 + 1 dimensions, JHEP 08 (2017) 086 [arXiv:1703.08460] [INSPIRE].
S. Benvenuti and S. Giacomelli, Supersymmetric gauge theories with decoupled operators and chiral ring stability, Phys. Rev. Lett. 119 (2017) 251601 [arXiv:1706.02225] [INSPIRE].
S. Benvenuti and S. Giacomelli, Abelianization and sequential confinement in 2 + 1 dimensions, JHEP 10 (2017) 173 [arXiv:1706.04949] [INSPIRE].
S. Benvenuti and S. Giacomelli, Lagrangians for generalized Argyres-Douglas theories, JHEP 10 (2017) 106 [arXiv:1707.05113] [INSPIRE].
S. Giacomelli and N. Mekareeya, Mirror theories of 3d \( \mathcal{N} \) = 2 SQCD, JHEP 03 (2018) 126 [arXiv:1711.11525] [INSPIRE].
S. Bajeot and S. Benvenuti, S-confinements from deconfinements, arXiv:2201.11049 [INSPIRE].
L. E. Bottini, C. Hwang, S. Pasquetti and M. Sacchi, Dualities from dualities: the sequential deconfinement technique, JHEP 05 (2022) 069 [arXiv:2201.11090] [INSPIRE].
C. Csáki, M. Schmaltz and W. Skiba, A Systematic approach to confinement in N = 1 supersymmetric gauge theories, Phys. Rev. Lett. 78 (1997) 799 [hep-th/9610139] [INSPIRE].
C. Csáki, M. Schmaltz and W. Skiba, Confinement in N = 1 SUSY gauge theories and model building tools, Phys. Rev. D 55 (1997) 7840 [hep-th/9612207] [INSPIRE].
I. Garcia-Etxebarria, B. Heidenreich and T. Wrase, New N = 1 dualities from orientifold transitions. Part I. Field Theory, JHEP 10 (2013) 007 [arXiv:1210.7799] [INSPIRE].
I. García-Etxebarria, B. Heidenreich and T. Wrase, New N = 1 dualities from orientifold transitions — Part II: String Theory, JHEP 10 (2013) 006 [arXiv:1307.1701] [INSPIRE].
I. G. Etxebarria, B. Heidenreich, M. Lotito and A. K. Sorout, Deconfining \( \mathcal{N} \) = 2 SCFTs or the art of brane bending, JHEP 03 (2022) 140 [arXiv:2111.08022] [INSPIRE].
L. E. Bottini, C. Hwang, S. Pasquetti and M. Sacchi, 4d S-duality wall and SL(2, ℤ) relations, JHEP 03 (2022) 035 [arXiv:2110.08001] [INSPIRE].
C. Hwang, S. Pasquetti and M. Sacchi, Rethinking mirror symmetry as a local duality on fields, arXiv:2110.11362 [INSPIRE].
C. Hwang, S. Pasquetti and M. Sacchi, 4d mirror-like dualities, JHEP 09 (2020) 047 [arXiv:2002.12897] [INSPIRE].
K. A. Intriligator and N. Seiberg, Mirror symmetry in three-dimensional gauge theories, Phys. Lett. B 387 (1996) 513 [hep-th/9607207] [INSPIRE].
A. Hanany and E. Witten, Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics, Nucl. Phys. B 492 (1997) 152 [hep-th/9611230] [INSPIRE].
A. Gadde, S. S. Razamat and B. Willett, “Lagrangian” for a Non-Lagrangian Field Theory with \( \mathcal{N} \) = 2 Supersymmetry, Phys. Rev. Lett. 115 (2015) 171604 [arXiv:1505.05834] [INSPIRE].
S. Benvenuti and G. Lo Monaco, Sawing an adjoint: sequential deconfinement in ortho-symplectic gauge theories, to appear.
C. Csáki, M. Schmaltz, W. Skiba and J. Terning, Selfdual N = 1 SUSY gauge theories, Phys. Rev. D 56 (1997) 1228 [hep-th/9701191] [INSPIRE].
J. Distler and A. Karch, N = 1 dualities for exceptional gauge groups and quantum global symmetries, Fortsch. Phys. 45 (1997) 517 [hep-th/9611088] [INSPIRE].
A. Karch, More on N = 1 selfdualities and exceptional gauge groups, Phys. Lett. B 405 (1997) 280 [hep-th/9702179] [INSPIRE].
S. S. Razamat, O. Sela and G. Zafrir, Curious patterns of IR symmetry enhancement, JHEP 10 (2018) 163 [arXiv:1809.00541] [INSPIRE].
S. S. Razamat, O. Sela and G. Zafrir, Between Symmetry and Duality in Supersymmetric Quantum Field Theories, Phys. Rev. Lett. 120 (2018) 071604 [arXiv:1711.02789] [INSPIRE].
O. Sela and G. Zafrir, Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d, JHEP 12 (2019) 052 [arXiv:1910.03629] [INSPIRE].
C. Hwang, S. Pasquetti and M. Sacchi, Flips, dualities and symmetry enhancements, JHEP 05 (2021) 094 [arXiv:2010.10446] [INSPIRE].
C. Hwang, S. S. Razamat, E. Sabag and M. Sacchi, Rank Q E-string on spheres with flux, SciPost Phys. 11 (2021) 044 [arXiv:2103.09149] [INSPIRE].
D. Kutasov, A Comment on duality in N = 1 supersymmetric nonAbelian gauge theories, Phys. Lett. B 351 (1995) 230 [hep-th/9503086] [INSPIRE].
D. Kutasov and A. Schwimmer, On duality in supersymmetric Yang-Mills theory, Phys. Lett. B 354 (1995) 315 [hep-th/9505004] [INSPIRE].
D. Kutasov, A. Schwimmer and N. Seiberg, Chiral rings, singularity theory and electric-magnetic duality, Nucl. Phys. B 459 (1996) 455 [hep-th/9510222] [INSPIRE].
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. B 524 (1998) 224 [hep-th/9611197] [INSPIRE].
S. Benvenuti and G. Lo Monaco, A toolkit for ortho-symplectic dualities, arXiv:2112.12154 [INSPIRE].
A. Amariti and S. Rota, 3d \( \mathcal{N} \) = 2SO/U Sp adjoint SQCD: s-confinement and exact identites, arXiv:2202.06885 [INSPIRE].
M. Berkooz, The Dual of supersymmetric SU(2k) with an antisymmetric tensor and composite dualities, Nucl. Phys. B 452 (1995) 513 [hep-th/9505067] [INSPIRE].
C. Csáki, W. Skiba and M. Schmaltz, Exact results and duality for Sp(2N ) SUSY gauge theories with an antisymmetric tensor, Nucl. Phys. B 487 (1997) 128 [hep-th/9607210] [INSPIRE].
A. Amariti, D. Orlando and S. Reffert, Monopole Quivers and new 3D N = 2 dualities, Nucl. Phys. B 924 (2017) 153 [arXiv:1705.09297] [INSPIRE].
S. Pasquetti, S. S. Razamat, M. Sacchi and G. Zafrir, Rank Q E-string on a torus with flux, SciPost Phys. 8 (2020) 014 [arXiv:1908.03278] [INSPIRE].
O. Aharony, S. S. Razamat, N. Seiberg and B. Willett, 3d dualities from 4d dualities, JHEP 07 (2013) 149 [arXiv:1305.3924] [INSPIRE].
S. Benvenuti, I. Garozzo and G. Lo Monaco, Monopoles and dualities in 3d \( \mathcal{N} \) = 2 quivers, JHEP 10 (2021) 191 [arXiv:2012.08556] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2206.11364
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Bajeot, S., Benvenuti, S. Sequential deconfinement and self-dualities in 4d \( \mathcal{N} \) = 1 gauge theories. J. High Energ. Phys. 2022, 7 (2022). https://doi.org/10.1007/JHEP10(2022)007
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2022)007