Abstract
We consider the IR phases of two-node quiver theories with \( \mathcal{N} \) = 1 supersymmetry in d = 2 + 1 dimensions. It turns out that the discussion splits into two main cases, depending on whether the Chern-Simons levels associated with the two nodes have the same sign, or the opposite signs, with the latter case being more non-trivial. The determination of the phase diagrams allows us to conjecture certain infrared dualities involving either two quiver theories, or a quiver and adjoint QCD. We also provide a short discussion on quivers possessing time reversal symmetry.
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J. Gomis, Z. Komargodski and N. Seiberg, Phases Of Adjoint QCD3 And Dualities, SciPost Phys. 5 (2018) 007 [arXiv:1710.03258] [INSPIRE].
V. Bashmakov, J. Gomis, Z. Komargodski and A. Sharon, Phases of \( \mathcal{N} \) = 1 theories in 2 + 1 dimensions, JHEP 07 (2018) 123 [arXiv:1802.10130] [INSPIRE].
F. Benini and S. Benvenuti, \( \mathcal{N} \) = 1 dualities in 2 + 1 dimensions, JHEP 11 (2018) 197 [arXiv:1803.01784] [INSPIRE].
D. Gaiotto, Z. Komargodski and J. Wu, Curious Aspects of Three-Dimensional \( \mathcal{N} \) = 1 SCFTs, JHEP 08 (2018) 004 [arXiv:1804.02018] [INSPIRE].
F. Benini and S. Benvenuti, \( \mathcal{N} \) = 1 QED in 2 + 1 dimensions: dualities and enhanced symmetries, JHEP 05 (2021) 176 [arXiv:1804.05707] [INSPIRE].
C. Choi, M. Roček and A. Sharon, Dualities and Phases of 3D N = 1 SQCD, JHEP 10 (2018) 105 [arXiv:1808.02184] [INSPIRE].
V. Bashmakov, F. Benini, S. Benvenuti and M. Bertolini, Living on the walls of super-QCD, SciPost Phys. 6 (2019) 044 [arXiv:1812.04645] [INSPIRE].
O. Aharony and A. Sharon, Large N renormalization group flows in 3d \( \mathcal{N} \) = 1 Chern-Simons-Matter theories, JHEP 07 (2019) 160 [arXiv:1905.07146] [INSPIRE].
V. Bashmakov and H. Khachatryan, Notes on \( \mathcal{N} \) = 1 QCD3 with baryon superpotential, arXiv:1911.10034 [INSPIRE].
S.J. Gates, M.T. Grisaru, M. Roček and W. Siegel, Superspace Or One Thousand and One Lessons in Supersymmetry, in Frontiers in Physics 58, Benjamin Cummings, San Francisco, CA, U.S.A. (1983) [hep-th/0108200] [INSPIRE].
N. Ohta and P.K. Townsend, Supersymmetry of M-branes at angles, Phys. Lett. B 418 (1998) 77 [hep-th/9710129] [INSPIRE].
T. Kitao, K. Ohta and N. Ohta, Three-dimensional gauge dynamics from brane configurations with (p, q)-fivebrane, Nucl. Phys. B 539 (1999) 79 [hep-th/9808111] [INSPIRE].
E. Witten, Supersymmetric index of three-dimensional gauge theory, hep-th/9903005 [INSPIRE].
O. Bergman, A. Hanany, A. Karch and B. Kol, Branes and supersymmetry breaking in three-dimensional gauge theories, JHEP 10 (1999) 036 [hep-th/9908075] [INSPIRE].
M. Gremm and E. Katz, Mirror symmetry for N = 1 QED in three-dimensions, JHEP 02 (2000) 008 [hep-th/9906020] [INSPIRE].
B.S. Acharya and C. Vafa, On domain walls of N = 1 supersymmetric Yang-Mills in four-dimensions, hep-th/0103011 [INSPIRE].
J.H. Schwarz, Superconformal Chern-Simons theories, JHEP 11 (2004) 078 [hep-th/0411077] [INSPIRE].
S. Gukov and D. Tong, D-brane probes of special holonomy manifolds, and dynamics of N = 1 three-dimensional gauge theories, JHEP 04 (2002) 050 [hep-th/0202126] [INSPIRE].
D. Forcella and A. Zaffaroni, N = 1 Chern-Simons theories, orientifolds and Spin(7) cones, JHEP 05 (2010) 045 [arXiv:0911.2595] [INSPIRE].
A. Amariti and D. Forcella, Spin(7) duality for \( \mathcal{N} \) = 1 CS-matter theories, JHEP 07 (2014) 082 [arXiv:1404.4052] [INSPIRE].
K. Intriligator and N. Seiberg, Aspects of 3d N = 2 Chern-Simons-Matter Theories, JHEP 07 (2013) 079 [arXiv:1305.1633] [INSPIRE].
D. Gaiotto, Z. Komargodski and N. Seiberg, Time-reversal breaking in QCD4, walls, and dualities in 2 + 1 dimensions, JHEP 01 (2018) 110 [arXiv:1708.06806] [INSPIRE].
F. Benini, C. Closset and S. Cremonesi, Comments on 3d Seiberg-like dualities, JHEP 10 (2011) 075 [arXiv:1108.5373] [INSPIRE].
A. Amariti and C. Klare, Chern-Simons and RG Flows: Contact with Dualities, JHEP 08 (2014) 144 [arXiv:1405.2312] [INSPIRE].
S. Benvenuti and S. Pasquetti, 3d \( \mathcal{N} \) = 2 mirror symmetry, pq-webs and monopole superpotentials, JHEP 08 (2016) 136 [arXiv:1605.02675] [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. 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].
A. Nedelin, S. Pasquetti and Y. Zenkevich, T[SU(N)] duality webs: mirror symmetry, spectral duality and gauge/CFT correspondences, JHEP 02 (2019) 176 [arXiv:1712.08140] [INSPIRE].
F. Aprile, S. Pasquetti and Y. Zenkevich, Flipping the head of T[SU(N)]: mirror symmetry, spectral duality and monopoles, JHEP 04 (2019) 138 [arXiv:1812.08142] [INSPIRE].
A. Amariti, M. Fazzi, N. Mekareeya and A. Nedelin, New 3d \( \mathcal{N} \) = 2 SCFT’s with N3/2 scaling, JHEP 12 (2019) 111 [arXiv:1903.02586] [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].
D. Jain and A. Ray, 3d \( \mathcal{N} \) = 2 \( \hat{ADE} \) Chern-Simons quivers, Phys. Rev. D 100 (2019) 046007 [arXiv:1902.10498] [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].
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].
A. Karch, B. Robinson and D. Tong, More Abelian Dualities in 2 + 1 Dimensions, JHEP 01 (2017) 017 [arXiv:1609.04012] [INSPIRE].
K. Jensen and A. Karch, Bosonizing three-dimensional quiver gauge theories, JHEP 11 (2017) 018 [arXiv:1709.01083] [INSPIRE].
K. Aitken, A. Baumgartner, C. Choi and A. Karch, Generalization of QCD3 symmetry-breaking and flavored quiver dualities, JHEP 02 (2020) 060 [arXiv:1906.08785] [INSPIRE].
P.-S. Hsin and N. Seiberg, Level/rank Duality and Chern-Simons-Matter Theories, JHEP 09 (2016) 095 [arXiv:1607.07457] [INSPIRE].
S. Deser, R. Jackiw and S. Templeton, Topologically Massive Gauge Theories, Annals Phys. 140 (1982) 372 [Annals Phys. 281 (2000) 409] [Erratum ibid. 185 (1988) 406] [INSPIRE].
S. Deser, R. Jackiw and S. Templeton, Three-Dimensional Massive Gauge Theories, Phys. Rev. Lett. 48 (1982) 975 [INSPIRE].
I. Affleck, J.A. Harvey and E. Witten, Instantons and (Super)Symmetry Breaking in (2 + 1)-Dimensions, Nucl. Phys. B 206 (1982) 413 [INSPIRE].
S.R. Coleman and E.J. Weinberg, Radiative Corrections as the Origin of Spontaneous Symmetry Breaking, Phys. Rev. D 7 (1973) 1888 [INSPIRE].
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Bashmakov, V., Gorini, N. Phases of \( \mathcal{N} \) = 1 quivers in 2 + 1 dimensions. J. High Energ. Phys. 2022, 110 (2022). https://doi.org/10.1007/JHEP07(2022)110
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DOI: https://doi.org/10.1007/JHEP07(2022)110