Abstract
We propose new 3d \( \mathcal{N} \) = 2 Seiberg-like dualities by considering various monopole superpotential deformations on 3d \( \mathcal{N} \) = 2 U(Nc) SQCDs with fundamental and adjoint matter fields. We provide nontrivial evidence of these new dualities by comparing the superconformal indices, from which we analyze the change of the moduli space due to the monopole deformation. In addition, we perform the F-maximization to check the relevance of the monopole deformation for some examples, one of which is found to exhibit nontrivial symmetry enhancement in the IR. We prove such enhancement of the global symmetry using the superconformal index.
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N. Seiberg, Electric-magnetic duality in supersymmetric nonAbelian gauge theories, Nucl. Phys. B 435 (1995) 129 [hep-th/9411149] [INSPIRE].
O. Aharony, S.S. Razamat, N. Seiberg and B. Willett, 3d dualities from 4d dualities, JHEP 07 (2013) 149 [arXiv:1305.3924] [INSPIRE].
O. Aharony, S.S. Razamat, N. Seiberg and B. Willett, 3d dualities from 4d dualities for orthogonal groups, JHEP 08 (2013) 099 [arXiv:1307.0511] [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].
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].
C. Hwang, S. Pasquetti and M. Sacchi, Rethinking mirror symmetry as a local duality on fields, arXiv:2110.11362 [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].
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].
P. Pouliot, Duality in SUSY SU(N) with an antisymmetric tensor, Phys. Lett. B 367 (1996) 151 [hep-th/9510148] [INSPIRE].
M.A. Luty, M. Schmaltz and J. Terning, A sequence of duals for Sp(2N) supersymmetric gauge theories with adjoint matter, Phys. Rev. D 54 (1996) 7815 [hep-th/9603034] [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].
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 and G. Lo Monaco, A toolkit for ortho-symplectic dualities, arXiv:2112.12154 [INSPIRE].
K. Nii, 3d Deconfinement, Product gauge group, Seiberg-Witten and New 3d dualities, JHEP 08 (2016) 123 [arXiv:1603.08550] [INSPIRE].
M. Sacchi, New 2d \( \mathcal{N} \) = (0, 2) dualities from four dimensions, JHEP 12 (2020) 009 [arXiv:2004.13672] [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].
A. Amariti and S. Rota, 3d \( \mathcal{N} \) = 2 SO/USp adjoint SQCD: s-confinement and exact identites, arXiv:2202.06885 [INSPIRE].
F. Benini, S. Benvenuti and S. Pasquetti, SUSY monopole potentials in 2+1 dimensions, JHEP 08 (2017) 086 [arXiv:1703.08460] [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].
J. Bhattacharya, S. Bhattacharyya, S. Minwalla and S. Raju, Indices for Superconformal Field Theories in 3,5 and 6 Dimensions, JHEP 02 (2008) 064 [arXiv:0801.1435] [INSPIRE].
J. Bhattacharya and S. Minwalla, Superconformal Indices for N = 6 Chern Simons Theories, JHEP 01 (2009) 014 [arXiv:0806.3251] [INSPIRE].
S. Cheon, D. Gang, S. Kim and J. Park, Refined test of AdS4/CFT3 correspondence for N = 2, 3 theories, JHEP 05 (2011) 027 [arXiv:1102.4273] [INSPIRE].
Y. Imamura, D. Yokoyama and S. Yokoyama, Superconformal index for large N quiver Chern-Simons theories, JHEP 08 (2011) 011 [arXiv:1102.0621] [INSPIRE].
C. Krattenthaler, V.P. Spiridonov and G.S. Vartanov, Superconformal indices of three-dimensional theories related by mirror symmetry, JHEP 06 (2011) 008 [arXiv:1103.4075] [INSPIRE].
D. Jafferis and X. Yin, A Duality Appetizer, arXiv:1103.5700 [INSPIRE].
A. Kapustin and B. Willett, Generalized Superconformal Index for Three Dimensional Field Theories, arXiv:1106.2484 [INSPIRE].
D. Bashkirov, Aharony duality and monopole operators in three dimensions, arXiv:1106.4110 [INSPIRE].
C. Hwang, H. Kim, K.-J. Park and J. Park, Index computation for 3d Chern-Simons matter theory: test of Seiberg-like duality, JHEP 09 (2011) 037 [arXiv:1107.4942] [INSPIRE].
D. Gang, E. Koh, K. Lee and J. Park, ABCD of 3d \( \mathcal{N} \) = 8 and 4 Superconformal Field Theories, arXiv:1108.3647 [INSPIRE].
C. Hwang, K.-J. Park and J. Park, Evidence for Aharony duality for orthogonal gauge groups, JHEP 11 (2011) 011 [arXiv:1109.2828] [INSPIRE].
A. Kapustin, H. Kim and J. Park, Dualities for 3d Theories with Tensor Matter, JHEP 12 (2011) 087 [arXiv:1110.2547] [INSPIRE].
D. Gang, C. Hwang, S. Kim and J. Park, Tests of AdS4/CFT3 correspondence for \( \mathcal{N} \) = 2 chiral-like theory, JHEP 02 (2012) 079 [arXiv:1111.4529] [INSPIRE].
T. Dimofte and D. Gaiotto, An E7 Surprise, JHEP 10 (2012) 129 [arXiv:1209.1404] [INSPIRE].
M. Honda and Y. Honma, 3d superconformal indices and isomorphisms of M2-brane theories, JHEP 01 (2013) 159 [arXiv:1210.1371] [INSPIRE].
S. Choi, C. Hwang and S. Kim, Quantum vortices, M2-branes and black holes, arXiv:1908.02470 [INSPIRE].
N. Bobev and P.M. Crichigno, Universal spinning black holes and theories of class \( \mathcal{R} \), JHEP 12 (2019) 054 [arXiv:1909.05873] [INSPIRE].
J. Nian and L.A. Pando Zayas, Microscopic entropy of rotating electrically charged AdS4 black holes from field theory localization, JHEP 03 (2020) 081 [arXiv:1909.07943] [INSPIRE].
F. Benini, D. Gang and L.A. Pando Zayas, Rotating Black Hole Entropy from M5 Branes, JHEP 03 (2020) 057 [arXiv:1909.11612] [INSPIRE].
S. Choi and C. Hwang, Universal 3d Cardy Block and Black Hole Entropy, JHEP 03 (2020) 068 [arXiv:1911.01448] [INSPIRE].
S. Kim, The complete superconformal index for N = 6 Chern-Simons theory, Nucl. Phys. B 821 (2009) 241 [Erratum ibid. 864 (2012) 884] [arXiv:0903.4172] [INSPIRE].
Y. Imamura and S. Yokoyama, Index for three dimensional superconformal field theories with general R-charge assignments, JHEP 04 (2011) 007 [arXiv:1101.0557] [INSPIRE].
H. Kim and J. Park, Aharony Dualities for 3d Theories with Adjoint Matter, JHEP 06 (2013) 106 [arXiv:1302.3645] [INSPIRE].
A. Amariti and L. Cassia, USp(2Nc) SQCD3 with antisymmetric: dualities and symmetry enhancements, JHEP 02 (2019) 013 [arXiv:1809.03796] [INSPIRE].
A. Amariti, L. Cassia, I. Garozzo and N. Mekareeya, Branes, partition functions and quadratic monopole superpotentials, Phys. Rev. D 100 (2019) 046001 [arXiv:1901.07559] [INSPIRE].
C. Hwang, H. Kim and J. Park, On 3d Seiberg-Like Dualities with Two Adjoints, Fortsch. Phys. 66 (2018) 1800064 [arXiv:1807.06198] [INSPIRE].
S. Benvenuti, A tale of exceptional 3d dualities, JHEP 03 (2019) 125 [arXiv:1809.03925] [INSPIRE].
C. Hwang and J. Park, Factorization of the 3d superconformal index with an adjoint matter, JHEP 11 (2015) 028 [arXiv:1506.03951] [INSPIRE].
K.A. Intriligator and B. Wecht, RG fixed points and flows in SQCD with adjoints, Nucl. Phys. B 677 (2004) 223 [hep-th/0309201] [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].
D. Kutasov, A. Parnachev and D.A. Sahakyan, Central charges and U(1)R symmetries in N = 1 superYang-Mills, JHEP 11 (2003) 013 [hep-th/0308071] [INSPIRE].
K. Intriligator and E. Nardoni, Deformations of WA,D,E SCFTs, JHEP 09 (2016) 043 [arXiv:1604.04294] [INSPIRE].
K.A. Intriligator, R.G. Leigh and M.J. Strassler, New examples of duality in chiral and nonchiral supersymmetric gauge theories, Nucl. Phys. B 456 (1995) 567 [hep-th/9506148] [INSPIRE].
M. Fujitsuka, M. Honda and Y. Yoshida, Higgs branch localization of 3d N = 2 theories, PTEP 2014 (2014) 123B02 [arXiv:1312.3627] [INSPIRE].
F. Benini and W. Peelaers, Higgs branch localization in three dimensions, JHEP 05 (2014) 030 [arXiv:1312.6078] [INSPIRE].
C. Hwang, H.-C. Kim and J. Park, Factorization of the 3d superconformal index, JHEP 08 (2014) 018 [arXiv:1211.6023] [INSPIRE].
C. Beem, T. Dimofte and S. Pasquetti, Holomorphic Blocks in Three Dimensions, JHEP 12 (2014) 177 [arXiv:1211.1986] [INSPIRE].
D.L. Jafferis, The Exact Superconformal R-Symmetry Extremizes Z, JHEP 05 (2012) 159 [arXiv:1012.3210] [INSPIRE].
S.S. Razamat and G. Zafrir, Exceptionally simple exceptional models, JHEP 11 (2016) 061 [arXiv:1609.02089] [INSPIRE].
S. Benvenuti, B. Feng, A. Hanany and Y.-H. He, Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics, JHEP 11 (2007) 050 [hep-th/0608050] [INSPIRE].
S.S. Razamat and G. Zafrir, E8 orbits of IR dualities, JHEP 11 (2017) 115 [arXiv:1709.06106] [INSPIRE].
S.S. Razamat, O. Sela and G. Zafrir, Curious patterns of IR symmetry enhancement, JHEP 10 (2018) 163 [arXiv:1809.00541] [INSPIRE].
C. Hwang, S. Pasquetti and M. Sacchi, Flips, dualities and symmetry enhancements, JHEP 05 (2021) 094 [arXiv:2010.10446] [INSPIRE].
F.J. van de Bult, Hyperbolic Hypergeometric Functions, http://math.caltech.edu/~vdbult/Thesis.pdf.
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].
D. Green, Z. Komargodski, N. Seiberg, Y. Tachikawa and B. Wecht, Exactly Marginal Deformations and Global Symmetries, JHEP 06 (2010) 106 [arXiv:1005.3546] [INSPIRE].
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Hwang, C., Kim, S. & Park, J. Monopole deformations of 3d Seiberg-like dualities with adjoint matters. J. High Energ. Phys. 2022, 111 (2022). https://doi.org/10.1007/JHEP11(2022)111
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DOI: https://doi.org/10.1007/JHEP11(2022)111