Abstract
We propose a Seiberg duality for a 3d \( \mathcal{N} \) = 2 Spin (7) gauge theory with F spinor matters. For F ≥ 6, the theory allows a magnetic dual description with an SU(F −4) gauge group. The matter content on the magnetic side is “chiral” and the duality connects “chiral” and “non-chiral” 3d gauge theories. As a corollary, we can construct a Seiberg duality for a 3d \( \mathcal{N} \) = 2 G2 gauge theory with fundamental matters.
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References
N. Seiberg, Exact results on the space of vacua of four-dimensional SUSY gauge theories, Phys. Rev.D 49 (1994) 6857 [hep-th/9402044] [INSPIRE].
N. Seiberg, Electric-magnetic duality in supersymmetric nonAbelian gauge theories, Nucl. Phys.B 435 (1995) 129 [hep-th/9411149] [INSPIRE].
K.A. Intriligator and N. Seiberg, Duality, monopoles, dyons, confinement and oblique confinement in supersymmetric SO(N (c)) gauge theories, Nucl. Phys.B 444 (1995) 125 [hep-th/9503179] [INSPIRE].
K.A. Intriligator and P. Pouliot, Exact superpotentials, quantum vacua and duality in supersymmetric SP(N (c)) gauge theories, Phys. Lett.B 353 (1995) 471 [hep-th/9505006] [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].
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].
A. Karch, Seiberg duality in three-dimensions, Phys. Lett.B 405 (1997) 79 [hep-th/9703172] [INSPIRE].
O. Aharony, IR duality in d = 3 N = 2 supersymmetric USp (2N (c)) and U(N (c)) gauge theories, Phys. Lett.B 404 (1997) 71 [hep-th/9703215] [INSPIRE].
A. Giveon and D. Kutasov, Seiberg Duality in Chern-Simons Theory, Nucl. Phys.B 812 (2009) 1 [arXiv:0808.0360] [INSPIRE].
V. Niarchos, Seiberg Duality in Chern-Simons Theories with Fundamental and Adjoint Matter, JHEP11 (2008) 001 [arXiv:0808.2771] [INSPIRE].
O. Aharony, S.S. Razamat, N. Seiberg and B. Willett, 3d dualities from 4d dualities, JHEP07 (2013) 149 [arXiv:1305.3924] [INSPIRE].
O. Aharony, S.S. Razamat, N. Seiberg and B. Willett, 3d dualities from 4d dualities for orthogonal groups, JHEP08 (2013) 099 [arXiv:1307.0511] [INSPIRE].
F. Benini, C. Closset and S. Cremonesi, Comments on 3d Seiberg-like dualities, JHEP10 (2011) 075 [arXiv:1108.5373] [INSPIRE].
A. Kapustin, H. Kim and J. Park, Dualities for 3d Theories with Tensor Matter, JHEP12 (2011) 087 [arXiv:1110.2547] [INSPIRE].
P. Pouliot, Chiral duals of nonchiral SUSY gauge theories, Phys. Lett.B 359 (1995) 108 [hep-th/9507018] [INSPIRE].
P. Pouliot and M.J. Strassler, A Chiral SU(N ) gauge theory and its nonchiral Spin(8) dual, Phys. Lett.B 370 (1996) 76 [hep-th/9510228] [INSPIRE].
P.L. Cho, More on chiral–nonchiral dual pairs, Phys. Rev.D 56 (1997) 5260 [hep-th/9702059] [INSPIRE].
P. Pouliot and M.J. Strassler, Duality and dynamical supersymmetry breaking in Spin(10) with a spinor, Phys. Lett.B 375 (1996) 175 [hep-th/9602031] [INSPIRE].
T. Kawano, Duality of N = 1 supersymmetric SO(10) gauge theory with matter in the spinorial representation, Prog. Theor. Phys.95 (1996) 963 [hep-th/9602035] [INSPIRE].
M. Berkooz, P.L. Cho, P. Kraus and M.J. Strassler, Dual descriptions of SO(10) SUSY gauge theories with arbitrary numbers of spinors and vectors, Phys. Rev.D 56 (1997) 7166 [hep-th/9705003] [INSPIRE].
T. Kawano and F. Yagi, Supersymmetric \( \mathcal{N} \) = 1 Spin(10) gauge theory with two spinors via a-maximization, Nucl. Phys.B 786 (2007) 135 [arXiv:0705.4022] [INSPIRE].
T. Kawano, Y. Ookouchi, Y. Tachikawa and F. Yagi, Pouliot type duality via a-maximization, Nucl. Phys.B 735 (2006) 1 [hep-th/0509230] [INSPIRE].
P.L. Cho, Exact results in SO(11) SUSY gauge theories with spinor and vector matter, Phys. Lett.B 400 (1997) 101 [hep-th/9701020] [INSPIRE].
N. Maru, Confining phase in SUSY SO(12) gauge theory with one spinor and several vectors, Mod. Phys. Lett.A 13 (1998) 1361 [hep-th/9801187] [INSPIRE].
K. Nii, Exact results in 3d \( \mathcal{N} \) = 2 Spin(7) gauge theories with vector and spinor matters, JHEP05 (2018) 017 [arXiv:1802.08716] [INSPIRE].
K. Nii, Confinement in 3d \( \mathcal{N} \) = 2 Spin(N ) gauge theories with vector and spinor matters, JHEP03 (2019) 113 [arXiv:1810.06618] [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].
O. Aharony, A. Hanany, K.A. Intriligator, N. Seiberg and M.J. Strassler, Aspects of N = 2 supersymmetric gauge theories in three-dimensions, Nucl. Phys.B 499 (1997) 67 [hep-th/9703110] [INSPIRE].
J. de Boer, K. Hori and Y. Oz, Dynamics of N = 2 supersymmetric gauge theories in three-dimensions, Nucl. Phys.B 500 (1997) 163 [hep-th/9703100] [INSPIRE].
O. Aharony and I. Shamir, On O(Nc) d = 3 \( \mathcal{N} \) = 2 supersymmetric QCD Theories, JHEP12 (2011) 043 [arXiv:1109.5081] [INSPIRE].
R. Slansky, Group Theory for Unified Model Building, Phys. Rept.79 (1981) 1 [INSPIRE].
H. Georgi, Lie Algebras in Particle Physics. From Isospin to Unified Theories, Front. Phys.54 (1982) 1 [INSPIRE].
K.A. Intriligator and N. Seiberg, Aspects of 3d N = 2 Chern-Simons-Matter Theories, JHEP07 (2013) 079 [arXiv:1305.1633] [INSPIRE].
C. Csáki, M. Martone, Y. Shirman, P. Tanedo and J. Terning, Dynamics of 3D SUSY Gauge Theories with Antisymmetric Matter, JHEP08 (2014) 141 [arXiv:1406.6684] [INSPIRE].
A. Amariti, C. Csáki, M. Martone and N.R.-L. Lorier, From 4D to 3D chiral theories: Dressing the monopoles, Phys. Rev.D 93 (2016) 105027 [arXiv:1506.01017] [INSPIRE].
O. Aharony, P. Narayan and T. Sharma, On monopole operators in supersymmetric Chern-Simons-matter theories, JHEP05 (2015) 117 [arXiv:1502.00945] [INSPIRE].
J. Bhattacharya and S. Minwalla, Superconformal Indices for N = 6 Chern Simons Theories, JHEP01 (2009) 014 [arXiv:0806.3251] [INSPIRE].
S. Kim, The Complete superconformal index for \( \mathcal{N} \) = 6 Chern-Simons theory, Nucl. Phys.B 821 (2009) 241 [Erratum ibid.B 864 (2012) 884] [arXiv:0903.4172] [INSPIRE].
Y. Imamura and S. Yokoyama, Index for three dimensional superconformal field theories with general R-charge assignments, JHEP04 (2011) 007 [arXiv:1101.0557] [INSPIRE].
A. Kapustin and B. Willett, Generalized Superconformal Index for Three Dimensional Field Theories, arXiv:1106.2484 [INSPIRE].
K. Nii and Y. Sekiguchi, Low-energy dynamics of 3d \( \mathcal{N} \) = 2 G2supersymmetric gauge theory, JHEP02 (2018) 158 [arXiv:1712.02774] [INSPIRE].
I. Pesando, Exact results for the supersymmetric G2gauge theories, Mod. Phys. Lett.A 10 (1995) 1871 [hep-th/9506139] [INSPIRE].
S.B. Giddings and J.M. Pierre, Some exact results in supersymmetric theories based on exceptional groups, Phys. Rev.D 52 (1995) 6065 [hep-th/9506196] [INSPIRE].
P. Pouliot, Spectroscopy of gauge theories based on exceptional Lie groups, J. Phys.A 34 (2001) 8631 [hep-th/0107151] [INSPIRE].
K. Nii, Confinement in 3d \( \mathcal{N} \) = 2 exceptional gauge theories, arXiv:1906.10161 [INSPIRE].
F.A.H. Dolan, V.P. Spiridonov and G.S. Vartanov, From 4d superconformal indices to 3d partition functions, Phys. Lett.B 704 (2011) 234 [arXiv:1104.1787] [INSPIRE].
A. Gadde and W. Yan, Reducing the 4d Index to the S3Partition Function, JHEP12 (2012) 003 [arXiv:1104.2592] [INSPIRE].
Y. Imamura, Relation between the 4d superconformal index and the S3partition function, JHEP09 (2011) 133 [arXiv:1104.4482] [INSPIRE].
V. Niarchos, Seiberg dualities and the 3d/4d connection, JHEP07 (2012) 075 [arXiv:1205.2086] [INSPIRE].
F. Benini, S. Benvenuti and S. Pasquetti, SUSY monopole potentials in 2 + 1 dimensions, JHEP08 (2017) 086 [arXiv:1703.08460] [INSPIRE].
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Nii, K. “Chiral” and “non-chiral” 3d Seiberg duality. J. High Energ. Phys. 2020, 98 (2020). https://doi.org/10.1007/JHEP04(2020)098
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DOI: https://doi.org/10.1007/JHEP04(2020)098