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Notes on S-folds and $\mathcal{N}=3$ theories · Around

2016

Notes on S-folds and $\mathcal{N}=3$ theories

Agarwal, Prarit, Amariti, Antonio

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We consider D3 branes in presence of an S-fold plane.

The latter is a non perturbative object, arising from the combined projection of an S-duality twist and a discrete orbifold of the R-symmetry group.
This construction naively gives rise to 4d $\mathcal{N}=3$ SCFTs.
Nevertheless it has been observed that in some cases supersymmetry is enhanced to $\mathcal{N}=4$.

Built on

G. C. Shephard, “Regular complex polytopes,” Proceedings of the London Mathematical Society
1952
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G. Shephard, “Unitary groups generated by reflections,” CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
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G. C. Shephard and J. A. Todd, “Finite unitary reflection groups,” Canad. J. Math
1954
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E. Witten, “Baryons and branes in anti-de Sitter space,” JHEP
1998
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Similar

O. Bergman, “Three pronged strings and 1/4 BPS states in N=4 superYang-Mills theory,” Nucl. Phys
Original
1998
Cited alongside, same era.
S. Ferrara, M. Porrati, and A. Zaffaroni, “N=6 supergravity on AdS(5) and the SU(2,2/3) superconformal correspondence,” Lett. Math. Phys
1999
Cited alongside, same era.
C. M. Hull, “A Geometry for non-geometric string backgrounds,” JHEP
2005
Cited alongside, same era.
O. Aharony and M. Evtikhiev, “On four dimensional N=3 superconformal theories,” arXiv:1512.03524 [hep-th]
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Cited in the paper.
C. Cordova, T. T. Dumitrescu, and K. Intriligator, “Deformations of Superconformal Theories,” arXiv:1602.01217 [hep-th]
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Cited in the paper.
T. Nishinaka and Y. Tachikawa, “On 4d rank-one N=3 superconformal field theories,” arXiv:1602.01503 [hep-th]
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Cited in the paper.
O. Aharony and Y. Tachikawa, “S-folds and 4d N=3 superconformal field theories,” arXiv:1602.08638 [hep-th]
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Cited in the paper.
D. R. Morrison and C. Vafa, “F-Theory and N=1 SCFTs in Four Dimensions,” arXiv:1604.03560 [hep-th]
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Cited in the paper.
Y. Imamura, H. Kato, and D. Yokoyama, “Supersymmetry Enhancement and Junctions in S-folds,” arXiv:1606.07186 [hep-th]
Original
Cited in the paper.
L. Nilse, “Classification of 1D and 2D orbifolds,” arXiv:hep-ph/0601015 [hep-ph]
Cited in the paper.

Then

I. Garcia-Etxebarria and D. Regalado, “ 𝒩 = 3 \mathcal{N}=3 four dimensional field theories,” JHEP
Original
2016
Closest in time.
S. W. Beck, J. B. Gutowski, and G. Papadopoulos, “AdS 5
Original
2016
Closest in time.
P. C. Argyres, M. Lotito, Y. Lu, and M. Martone, “Expanding the landscape of 𝒩 \mathcal{N} = 2 rank 1 SCFTs,” JHEP
Original
2016
Closest in time.

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