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Bootstrapping SCFTs with four supercharges

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If you have a question about this talk, please contact Joao Miguel Vieira Gomes.

I will discuss conformal bootstrap for SCF Ts with four supercharges (eight superconformal charges) between two and four dimensions in a unified language. The special cases of interest are (2,2) SCF Ts in d=2, N=2 SCF Ts in d=3, and N=1 SCF Ts 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.

This talk is part of the Quantum Fields and Strings Seminars series.

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