Abstract
We study the generalization of S-duality and Argyres-Seiberg duality for a large class of N = 2 superconformal gauge theories. We identify a family of strongly interacting SCFTs and use them as building blocks for generalized superconformal quiver gauge theories. This setup provides a detailed description of the “very strongly coupled” regions in the moduli space of more familiar gauge theories. As a byproduct, we provide a purely four dimensional construction of N = 2 theories defined by wrapping M5 branes over a Riemann surface.
Similar content being viewed by others
References
N. Seiberg and E. Witten, Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD, Nucl. Phys. B 431 (1994) 484 [hep-th/9408099] [INSPIRE].
P.C. Argyres, M.R. Plesser and A.D. Shapere, The Coulomb phase of N = 2 supersymmetric QCD, Phys. Rev. Lett. 75 (1995) 1699 [hep-th/9505100] [INSPIRE].
P.C. Argyres and N. Seiberg, S-duality in N = 2 supersymmetric gauge theories, JHEP 12 (2007) 088 [arXiv:0711.0054] [INSPIRE].
H. Lin, O. Lunin and J.M. Maldacena, Bubbling AdS space and 1/2 BPS geometries, JHEP 10 (2004) 025 [hep-th/0409174] [INSPIRE].
D. Gaiotto and J. Maldacena, The gravity duals of N = 2 superconformal field theories, arXiv:0904.4466 [INSPIRE].
E. Witten, Solutions of four-dimensional field theories via M-theory, Nucl. Phys. B 500 (1997) 3 [hep-th/9703166] [INSPIRE].
D. Gaiotto, G. Moore and A. Neitzke, Wall-crossing, Hitchin systems, and the WKB approximation, arXiv:0907.3987 [INSPIRE].
P.C. Argyres and A. Buchel, New S dualities in N = 2 supersymmetric SU(2) × SU(2) gauge theory, JHEP 11 (1999) 014 [hep-th/9910125] [INSPIRE].
A. Mikhailov, BPS states and minimal surfaces, Nucl. Phys. B 533 (1998) 243 [hep-th/9708068] [INSPIRE].
N. Dorey, V.V. Khoze and M.P. Mattis, On N = 2 supersymmetric QCD with four flavors, Nucl. Phys. B 492 (1997) 607 [hep-th/9611016] [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].
O. Aharony, M. Berkooz and N. Seiberg, Light cone description of (2, 0) superconformal theories in six-dimensions, Adv. Theor. Math. Phys. 2 (1998) 119 [hep-th/9712117] [INSPIRE].
S. Gukov and E. Witten, Gauge theory, ramification, and the geometric Langlands program, hep-th/0612073 [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].
P.C. Argyres, R. Maimon and S. Pelland, The M-theory lift of two 06-planes and four D6-branes, JHEP 05 (2002) 008 [hep-th/0204127] [INSPIRE].
A. Brandhuber, J. Sonnenschein, S. Theisen and S. Yankielowicz, M theory and Seiberg-Witten curves: orthogonal and symplectic groups, Nucl. Phys. B 504 (1997) 175 [hep-th/9705232] [INSPIRE].
K. Landsteiner, E. Lopez and D.A. Lowe, N = 2 supersymmetric gauge theories, branes and orientifolds, Nucl. Phys. B 507 (1997) 197 [hep-th/9705199] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 0904.2715
Rights and permissions
About this article
Cite this article
Gaiotto, D. N = 2 dualities. J. High Energ. Phys. 2012, 34 (2012). https://doi.org/10.1007/JHEP08(2012)034
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2012)034