OKC/Nordita High-Energy Physics Theory seminar

On level crossing in conformal field theories

by Gregory Korchemsky (Saclay)

122:026 ()


"We study the properties of operators in a unitary conformal field theory whose scaling dimensions approach each other for some values of the parameters and satisfy von Neumann-Wigner non-crossing rule. We argue that the scaling dimensions of such operators and their OPE coefficients have a universal scaling behavior in the vicinity of the crossing point. We demonstrate that the obtained relations are in a good agreement with the known examples of the level-crossing phenomenon in maximally supersymmetric =4 Yang-Mills theory, three-dimensional conformal field theories and QCD."