PIRSA:19090111

Implications of the ANEC in four dimensional SCFTs

APA

Manenti, A. (2019). Implications of the ANEC in four dimensional SCFTs. Perimeter Institute. https://pirsa.org/19090111

MLA

Manenti, Andrea. Implications of the ANEC in four dimensional SCFTs. Perimeter Institute, Sep. 24, 2019, https://pirsa.org/19090111

BibTex

          @misc{ pirsa_19090111,
            doi = {},
            url = {https://pirsa.org/19090111},
            author = {Manenti, Andrea},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Implications of the ANEC in four dimensional SCFTs},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {sep},
            note = {PIRSA:19090111 see, \url{https://pirsa.org}}
          }
          

Abstract

The averaged null energy condition (ANEC) can be used to put constraints on the scaling dimensions of operators in a local CFTs. In some cases these are stronger than the unitarity bounds. I will consider four dimensional N=1 superconformal field theories (SCFTs) and discuss bounds on generic long and protected multiplets with spin (j,0). Some of them can be obtained analytically and others can be studied by means of a simple semidefinite programming problem. I will also briefly mention the consequences for N=2,4 SCFTs. Based on [1905.09293].