Abstract
We continue the study of Lagrangian descriptions of \( \mathcal{N}=2 \) Argyres-Douglas theories. We use our recent interpretation in terms of sequential confinement to guess the Lagrangians of all the Argyres-Douglas models with Abelian three dimensional mirror. We find classes of four dimensional \( \mathcal{N}=1 \) quivers that flow in the infrared to generalized Argyres-Douglas theories, such as the (A k , A kN +N −1) models. We study in detail how the \( \mathcal{N}=1 \) chiral rings map to the Coulomb and Higgs Branches of the \( \mathcal{N}=2 \) CFT’s. The three dimensional mirror RG flows are shown to land on the \( \mathcal{N}=4 \) complete graph quivers. We also compactify to three dimensions the gauge theory dual to (A 1, D 4), and find the expected Abelianization duality with \( \mathcal{N}=4 \) SQED with 3 flavors.
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References
S. Benvenuti and S. Giacomelli, Compactification of dualities with decoupled operators and 3d mirror symmetry, arXiv:1706.02225 [INSPIRE].
S. Benvenuti and S. Giacomelli, Abelianization and sequential confinement in 2 + 1 dimensions, arXiv:1706.04949 [INSPIRE].
K. Maruyoshi and J. Song, Enhancement of supersymmetry via renormalization group flow and the superconformal index, Phys. Rev. Lett. 118 (2017) 151602 [arXiv:1606.05632] [INSPIRE].
K. Maruyoshi and J. Song, N = 1 deformations and RG flows of N = 2 SCFTs, JHEP 02 (2017) 075 [arXiv:1607.04281] [INSPIRE].
F. Benini, S. Benvenuti and S. Pasquetti, SUSY monopole potentials in 2 + 1 dimensions, JHEP 08 (2017) 086 [arXiv:1703.08460] [INSPIRE].
D. Nanopoulos and D. Xie, More three dimensional mirror pairs, JHEP 05 (2011) 071 [arXiv:1011.1911] [INSPIRE].
D. Xie, General Argyres-Douglas theory, JHEP 01 (2013) 100 [arXiv:1204.2270] [INSPIRE].
P. Boalch, Irregular connections and Kac-Moody root systems, arXiv:0806.1050.
S. Cecotti, A. Neitzke and C. Vafa, R-twisting and 4d/2d correspondences, arXiv:1006.3435 [INSPIRE].
P. Agarwal, K. Maruyoshi and J. Song, N = 1 deformations and RG flows of N = 2 SCFTs, part II: non-principal deformations, JHEP 12 (2016) 103 [arXiv:1610.05311] [INSPIRE].
S. Giacomelli, Four dimensional superconformal theories from M 5 branes, JHEP 01 (2015) 044 [arXiv:1409.3077] [INSPIRE].
P. Agarwal, A. Sciarappa and J. Song, N = 1 Lagrangians for generalized Argyres-Douglas theories, arXiv:1707.04751 [INSPIRE].
T.C. Collins, D. Xie and S.-T. Yau, K stability and stability of chiral ring, arXiv:1606.09260 [INSPIRE].
D. Kutasov, A. Parnachev and D.A. Sahakyan, Central charges and U(1) R symmetries in N = 1 super Yang-Mills, JHEP 11(2003) 013[hep-th/0308071] [INSPIRE].
F.A. Dolan and H. Osborn, On short and semi-short representations for four-dimensional superconformal symmetry, Annals Phys. 307 (2003) 41 [hep-th/0209056] [INSPIRE].
K. Nii, 3d duality with adjoint matter from 4d duality, JHEP 02 (2015) 024 [arXiv:1409.3230] [INSPIRE].
K.A. Intriligator and N. Seiberg, Mirror symmetry in three-dimensional gauge theories, Phys. Lett. B 387 (1996) 513 [hep-th/9607207] [INSPIRE].
D. Gaiotto and E. Witten, S-duality of boundary conditions in N = 4 super Yang-Mills theory, Adv. Theor. Math. Phys. 13 (2009) 721 [arXiv:0807.3720] [INSPIRE].
S. Benvenuti and S. Pasquetti, 3d N = 2 mirror symmetry, pq-webs and monopole superpotentials, JHEP 08 (2016) 136 [arXiv:1605.02675] [INSPIRE].
A. Collinucci, S. Giacomelli, R. Savelli and R. Valandro, T-branes through 3d mirror symmetry, JHEP 07 (2016) 093 [arXiv:1603.00062] [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].
M. Caorsi and S. Cecotti, Homological S-duality in 4d N = 2 QFTs, arXiv:1612.08065 [INSPIRE].
F. Benini, Y. Tachikawa and D. Xie, Mirrors of 3d Sicilian theories, JHEP 09 (2010) 063 [arXiv:1007.0992] [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, K. Maruyoshi, Y. Tachikawa and W. Yan, New N = 1 dualities, JHEP 06 (2013) 056 [arXiv:1303.0836] [INSPIRE].
P. Agarwal, I. Bah, K. Maruyoshi and J. Song, Quiver tails and N = 1 SCFTs from M 5-branes, JHEP 03 (2015) 049 [arXiv:1409.1908] [INSPIRE].
K.A. Intriligator and B. Wecht, The exact superconformal R symmetry maximizes a, Nucl. Phys. B 667 (2003) 183 [hep-th/0304128] [INSPIRE].
D. Anselmi, D.Z. Freedman, M.T. Grisaru and A.A. Johansen, Nonperturbative formulas for central functions of supersymmetric gauge theories, Nucl. Phys. B 526 (1998) 543 [hep-th/9708042] [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].
B. Kol, On conformal deformations, JHEP 09 (2002) 046 [hep-th/0205141] [INSPIRE].
S. Benvenuti and A. Hanany, Conformal manifolds for the conifold and other toric field theories, JHEP 08 (2005) 024 [hep-th/0502043] [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].
B. Kol, On conformal deformations II, arXiv:1005.4408 [INSPIRE].
M. Del Zotto and A. Hanany, Complete graphs, Hilbert series and the Higgs branch of the 4d N =2 (A n ,A m ) SCFTs, Nucl. Phys. B 894(2015) 439[arXiv:1403.6523] [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].
A. Kapustin, B. Willett and I. Yaakov, Exact results for Wilson loops in superconformal Chern-Simons theories with matter, JHEP 03 (2010) 089 [arXiv:0909.4559] [INSPIRE].
D.L. Jafferis, The exact superconformal R-symmetry extremizes Z, JHEP 05 (2012) 159 [arXiv:1012.3210] [INSPIRE].
S. Cremonesi, A. Hanany and A. Zaffaroni, Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories, JHEP 01 (2014) 005 [arXiv:1309.2657] [INSPIRE].
A. Hanany, C. Hwang, H. Kim, J. Park and R.-K. Seong, Hilbert series for theories with Aharony duals, JHEP 11 (2015) 132 [Addendum ibid. 04 (2016) 064] [arXiv:1505.02160] [INSPIRE].
S. Cremonesi, The Hilbert series of 3d N = 2 Yang-Mills theories with vectorlike matter, J. Phys. A 48 (2015) 455401 [arXiv:1505.02409] [INSPIRE].
S. Cremonesi, N. Mekareeya and A. Zaffaroni, The moduli spaces of 3d N ≥ 2 Chern-Simons gauge theories and their Hilbert series, JHEP 10 (2016) 046 [arXiv:1607.05728] [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].
M. Buican and T. Nishinaka, On irregular singularity wave functions and superconformal indices, JHEP 09 (2017) 066 [arXiv:1705.07173] [INSPIRE].
M. Buican and T. Nishinaka, On the superconformal index of Argyres-Douglas theories, J. Phys. A 49 (2016) 015401 [arXiv:1505.05884] [INSPIRE].
M. Buican and T. Nishinaka, Argyres-Douglas theories, S 1 reductions and topological symmetries, J. Phys. A 49 (2016) 045401 [arXiv:1505.06205] [INSPIRE].
D. Gaiotto, N = 2 dualities, JHEP 08 (2012) 034 [arXiv:0904.2715] [INSPIRE].
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Benvenuti, S., Giacomelli, S. Lagrangians for generalized Argyres-Douglas theories. J. High Energ. Phys. 2017, 106 (2017). https://doi.org/10.1007/JHEP10(2017)106
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DOI: https://doi.org/10.1007/JHEP10(2017)106