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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Maths HEP Lunchtime Seminars: Bootstrapping SCFTs with Four Supercharges

Presented by Sheer El-Showk, CERN

30 January 2015 13:00 in CM221

We investigate the conformal bootstrap with four supercharges for
spacetime dimension 2 ≤ d ≤ 4. We construct the superconformal blocks
for any d ≤ 4 and then derive bounds on the first unprotected operator
appearing in the correlation function of four chiral primaries. We
obtain a remarkable structure of three distinct kinks. We argue that one
of these smoothly interpolates from the d = 2 N = (2, 2) minimal model
with central charge c = 1 to free theory in d = 4, passing by the
critical Wess-Zumino model with cubic superpotential in intermediary
dimensions (a supersymmetric generalization of the critical Ising
model). The other two remain mysterious, but we argue that all three are
characterized by the chiral ring relation Φ^2 = 0.

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