3d theories

[blefloch]

• (super) Yang-Mills
• (super) Chern-Simons (N=1 super just shifts level)
• understand flavour symmetries in e.g. (USp(2Nc))---[2Nf]
• parity anomaly
• put http://arxiv.org/abs/1505.03130 somewhere (supergroup Chern Simons)
• Aharony on 3d N=0 level-rank duality

[blefloch]

3d N=1:

• Witten supersymmetric index
• Gremm Katz mirror symmetry for SQED?

3d N=2:

• Aspects of N=2 supersymmetric gauge theories in three-dimensions, much later Intriligator Seiberg Aspects of 3d N=2 Chern-Simons-Matter Theories
• U(1)_R mixes with global symmetries, need F-extremization
• Chiral ring
• Aharony duality: Sp and U, Karch Sp
• Giveon Kutasov duality Seiberg Duality in Chern-Simons Theory
• Amariti Forcella Girardello Mariotti another duality
• Jensen Karch duality of dualities
• Aharony Shamir O(N_c) dualities
• Aharony Fleischer all SU dualities
• de Boer Hori Oz Yin mirror symmetry, Tong more on mirror symmetry, Csáki Martone Shirman Tanedo Terning with antisym matter
• Aganagic Hori Karch Tong reduce mirror sym to 2d tested by Chen Chen Ho using localization
• Dimofte Gaiotto Gukov 6d (2,0) compactified on 3d manifold Cordova Espahbodi Haghighat Rastogi Vafa describe mirror symmetry (etc) in this context Terashima Yamazaki theories from cluster mutation sequences
• Benini Closset Cremonesi comments on Seiberg-like dualities
• unsorted: flows between dualities, Matching 3d N=2 Vortices and Monopole Operators

[blefloch]

3d N=3:

• Billo Fabbri Fre Merlatti Zaffaroni rings of short 3d N=3 superfields shortening conditions for unitary representations of Osp(3|4), structure similar to chiral ring structure

3d N=4:

• Mirror symmetry: Intriligator Seiberg original paper, Hanany Witten brane cartoons, Kapustin and Strassler abelian case as Fourier transform
• Gaiotto Witten T[SU(N)] theory and good/ugly/bad quivers (Janus wall paper), Yaakov redeems bad theories
• Hosomichi, Lee, Lee, Lee, Park with twisted hypers, Benini Tachikawa Xie mirrors of Sicilian theories, Nanopoulos Xie more 3d mirrors, Razamat Willett on reductions of class S
• Coulomb branch: Cremonesi Hanany Zaffaroni monopole operators and Hilbert series, Bullimore Dimofte Gaiotto Coulomb branch

[blefloch]

3d N=6:

• ABJM
• ABJ
• Hanany He ABJM taxonomy

[blefloch]

Monopole operators:

• http://arxiv.org/abs/hep-th/0207074 (3d N=2)
• http://arxiv.org/abs/hep-th/0310254 (3d N=4)
• http://arxiv.org/abs/arXiv:1502.00945
• Amariti Csáki, Martone Rey-Le Lorier dressing the monopoles

[blefloch]

Supersymmetric localization

• Kapustin Willett Yaakov http://arxiv.org/abs/1003.5694 http://arxiv.org/abs/1012.4021
• Jafferis http://arxiv.org/abs/1012.3210
• Hama Hosomichi Lee http://arxiv.org/abs/1012.3512 http://arxiv.org/abs/1102.4716
• http://arxiv.org/abs/1106.2484
• Drukker Okuda Passerini vortex loop operators
• Tanaka Mori Morita RP^2 index, and again

[blefloch]

Cordova, Dumitrescu, Intriligator relevant/marginal/irrelevant deformations of SCFTs Superconformal algebra exists for all Nsusy. Expect further paper by this group proving that Nsusy<=8 for interacting SCFTs.