Built on

A. D. Shapere and Y. Tachikawa, Central charges of N=2 superconformal field theories in four dimensions
Original
1957
Earlier work this paper cites.
K. Kodaira, On the structure of compact complex analytic surfaces. I
1964
Earlier work this paper cites.
K. Kodaira, On the structure of compact complex analytic surfaces. II, III
1966
Earlier work this paper cites.
F. J. Wegner, Duality in Generalized Ising Models and Phase Transitions Without Local Order Parameters
1971
Earlier work this paper cites.
L. M. Krauss and F. Wilczek, Discrete Gauge Symmetry in Continuum Theories
1989
Earlier work this paper cites.
T. Banks, Effective Lagrangian Description of Discrete Gauge Symmetries
1989
Earlier work this paper cites.
N. Seiberg and E. Witten, Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD
1994
Earlier work this paper cites.
Cambridge University Press, 1994
V. G. Kac, Infinite Dimensional Lie Algebras · 1994
Earlier work this paper cites.
J. A. Minahan and D. Nemeschansky, An N=2 superconformal fixed point with E(6) global symmetry
1996
Earlier work this paper cites.

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2016

4d $\mathcal{N}$=2 theories with disconnected gauge groups

Argyres, Philip C., Martone, Mario

Understand

In this paper we present a beautifully consistent web of evidence for the existence of interacting 4d rank-1 $\mathcal{N}=2$ SCFTs obtained from gauging discrete subgroups of global symmetries of other existing 4d rank-1 $\mathcal{N}=2$ SCFTs.

The global symmetries that can be gauged involve a non-trivial combination of discrete subgroups of the $U(1)_R$, low-energy EM duality group $SL(2,\mathbb{Z})$, and the outer automorphism group of the flavor symmetry algebra, Out($F$).
The theories that we construct are remarkable in many ways: (i) two of them have exceptional $F_4$ and $G_2$ flavor groups; (ii) they substantially complete the picture of the landscape of rank-1 $\mathcal{N}=2$ SCFTs as they realize all but one of the remaining consistent rank-1 Seiberg-Witten geometries that we previously constructed but were not associated to known SCFTs; and (iii) some of them have enlarged $\mathcal{N}=3$ SUSY, and have not been previously constructed.
They are also examples of SCFTs which violate the Shapere-Tachikawa relation between the conformal central charges and the scaling dimension of the Coulomb branch vev.

Built on

A. D. Shapere and Y. Tachikawa, Central charges of N=2 superconformal field theories in four dimensions
Original
1957
Earlier work this paper cites.
K. Kodaira, On the structure of compact complex analytic surfaces. I
1964
Earlier work this paper cites.
K. Kodaira, On the structure of compact complex analytic surfaces. II, III
1966
Earlier work this paper cites.
F. J. Wegner, Duality in Generalized Ising Models and Phase Transitions Without Local Order Parameters
1971
Earlier work this paper cites.
L. M. Krauss and F. Wilczek, Discrete Gauge Symmetry in Continuum Theories
1989
Earlier work this paper cites.
T. Banks, Effective Lagrangian Description of Discrete Gauge Symmetries
1989
Earlier work this paper cites.
N. Seiberg and E. Witten, Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD
1994
Earlier work this paper cites.
Cambridge University Press, 1994
V. G. Kac, Infinite Dimensional Lie Algebras · 1994
Earlier work this paper cites.
J. A. Minahan and D. Nemeschansky, An N=2 superconformal fixed point with E(6) global symmetry
1996
Earlier work this paper cites.

Similar

P. C. Argyres, M. R. Plesser, and N. Seiberg, The Moduli space of vacua of N=2 SUSY QCD and duality in N=1 SUSY QCD
1996
Cited alongside, same era.
Cambridge Monographs on Mathematical Physics. Cambridge University Press, 2003
J. Fuchs and C. Schweigert, Symmetries, Lie algebras and representations: A graduate course for physicists · 2003
Cited alongside, same era.
F. Dolan and H. Osborn, On short and semi-short representations for four-dimensional superconformal symmetry
2003
Cited alongside, same era.
A. Kapustin and E. Witten, Electric-Magnetic Duality And The Geometric Langlands Program
2007
Cited alongside, same era.
D. Gaiotto, A. Neitzke, and Y. Tachikawa, Argyres-Seiberg duality and the Higgs branch
Original
2010
Cited alongside, same era.