Conformal Bootstrap with Four Supercharges

by Nikolay Bobev (KULeuven)

Wednesday 7 Sept 2016, 13:00 → 14:00 Europe/Brussels

E/3rd floor-E.349 - Seminar room (E.349) (Marc de Hemptinne (chemin du Cyclotron, 2, Louvain-la-Neuve))

After a general introduction to the conformal bootstrap program I will present new constraints imposed by superconformal symmetry, crossing symmetry, and unitarity for theories with four supercharges in general spacetime dimension. I will show how superconformal algebras with four Poincare supercharges can be treated in a formalism applicable to any dimension and use this to construct the corresponding superconformal blocks. Numerical bounds on the dimension of the first scalar operator appearing in the OPE of a chiral and an anti-chiral primary lead to a kink at the expected location of the critical three-dimensional N=2 Wess-Zumino model, which can be thought of as a supersymmetric analog of the critical Ising model. Focusing on this kink, I will present high-accuracy results on the low-lying spectrum of operator dimensions of the theory.

Slides SusyBootstrap.pdf