4d N=1

[blefloch]

• superspace
• Lagrangian
• holomorphy of the superpotential
• vacua of SYM, SQED, SQCD
• NSVZ beta function

[blefloch]

For SQCD, gauge anomaly requires equally many fundamentals and antifundamentals.

[blefloch]

Dualities

• Seiberg, also review by Intriligator and Seiberg
• Remarks by Aharony
• Kutasov X^3, with Schwimmer X^{k+1}, and with Seiberg chiral ring of these
• Brodie D-type, Brodie and Strassler Patterns
• Aharony Sonnenschein Yankielowicz X^3+some(q'Xq)
• Seiberg duality with sofly broken susy?
• Sakai with symmetric matter
• Csaki Schmaltz Skiba Terning self-dual theories Karch self-dual with exceptional gauge group
• Klebanov Strassler Duality cascade Strassler Duality cascade II
• Berenstein Douglas much more mathematical duality for quiver theories
• Strassler 4d N=1 dualities linking various things together
• Abel Barnard duality as hidden local symmetry

[blefloch]

Brane constructions

• New N=1 superconformal field theories in four-dimensions from D-brane probes
• Field theory questions for string theory answers
• Coman Pomoni Taki Yagi spectral curves for class S_k

[blefloch]

Buican Minimal Distances Between SCFTs (also relevant for 4d N=2 and 4d N=4)

[blefloch]

Supermultiplets: chiral, vector, complex linear supermultiplet,...

[blefloch]

http://arxiv.org/abs/1111.3402 http://arxiv.org/abs/1505.05053 http://arxiv.org/abs/1505.00255 http://arxiv.org/abs/1409.8306 "N=1 curve" by Dan Xie

[blefloch]

Cordova, Dumitrescu, Intriligator relevant/marginal/irrelevant deformations of SCFTs

[blefloch]

https://arxiv.org/pdf/1709.06106.pdf E8 orbits of IR dualities (Razamat Zafrir)