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Regular Seminar Dalimil Mazac (Perimeter Institute)
I will discuss conformal bootstrap for SCFTs with four supercharges (eight superconformal charges) between two and four dimensions in a unified language. The special cases of interest are (2,2) SCFTs in d=2, N=2 SCFTs in d=3, and N=1 SCFTs in d=4. I will show how a large class of superconformal blocks can be found from the Casimir differential equation. I will describe the numerical bounds arising from the two independent bootstrap equations of the four-point function involving a chiral field and its conjugate. The bound involves three kinks, one of which corresponds to the IR fixed point of the Wess-Zumino model, and the other two remain mysterious.