PIRSA:16050002

On level crossing in conformal field theories

Korchemsky, G. (2016). On level crossing in conformal field theories. Perimeter Institute. https://pirsa.org/16050002

Korchemsky, Gregory. On level crossing in conformal field theories. Perimeter Institute, May. 10, 2016, https://pirsa.org/16050002 

          @misc{ pirsa_PIRSA:16050002,
            doi = {10.48660/16050002},
            url = {https://pirsa.org/16050002},
            author = {Korchemsky, Gregory},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {On level crossing in conformal field theories},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {may},
            note = {PIRSA:16050002 see, \url{https://pirsa.org}}
          }

Gregory Korchemsky CEA Saclay

DOI 10.48660/16050002
Collection
Talk Type Scientific Series
Subject

Abstract

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 N=4 Yang-Mills theory, three-dimensional conformal field theories and QCD.