Supermultiplets

[blefloch]

Find a good way to organize the data to make dimension reduction clear, as well as the on-shell/off-shell difference.

The list needs to contain (various) vector, hyper, chiral, linear, Stuckelberg, Fermi,... multiplets, but also supermultiplets that are not fundamental fields (e.g. the stress-tensor multiplet). Also the 6d tensor multiplet.

[blefloch]

Obviously look at Sr James Gates Jr's papers.

[blefloch]

Comments on Supercurrent Multiplets, Supersymmetric Field Theories and Supergravity, Zohar Komargodski, Nathan Seiberg Supercurrents and Brane Currents in Diverse Dimensions, Thomas T. Dumitrescu, Nathan Seiberg

[blefloch]

Comments on N=(2,2) Supersymmetry on Two-Manifolds (Closset&Cremonesi) discuss multiplets in detail (on curved space). Also in 2d N=(2,2), http://arxiv.org/abs/0808.1535 could be interesting ("new gauge multiplet").

[blefloch]

Nilpotent superfields

[blefloch]

• Even 1d N>=3 supermultiplets are not classified (see http://arxiv.org/abs/1310.3258)
• One use of N=4 supermultiplets Wyllard
• On massless 1d supermultiplets Alex S. Arvanitakis, Luca Mezincescu, Paul K. Townsend

[blefloch]

Dolan Osborn http://arxiv.org/abs/hep-th/0209056 On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry (4d N=2, 4d N=4)

[blefloch]

Cordova, Dumitrescu, Intriligator relevant/marginal/irrelevant deformations of SCFTs also Multiplets of Superconformal Symmetry in Diverse Dimensions

[blefloch]

M. Flato and C. Fronsdal, Lett. Math. Phys. 8 (1984) 159; V.K. Dobrev and V.B. Petkova, Phys. Lett. 162B (1985) 127

[blefloch]

https://arxiv.org/pdf/0712.1923

[blefloch]

https://arxiv.org/abs/1611.04617 has an appendix with tables of supermultiplets in sugra