Speaker
Igor Klebanov
Description
We start by reviewing UV completion of the Gross-Neveu model in dimensions between two and four via the Gross-Neveu-Yukawa model,
which is a multi-flavor Yukawa theory. We discuss the operator scaling dimensions and the sphere free energy for these Conformal Field Theories.
The case of a single two-component Majorana fermion is special in that the theory appears to flow to a CFT with emergent supersymmetry, and we provide
evidence for this using 4-epsilon expansions. We also discuss the O(N) symmetric scalar theory in dimensions between four and six, where it appears to be
unitary to all orders in the 1/N expansion, and propose its UV completion in terms of a cubic theory.
In 6-epsilon dimensions this O(N) symmetric cubic theory has an IR stable fixed point for N>1038. We conclude
with comments on continuation of this theory to five dimensions.
