The hybrid conformal bootstrap


Su, N. (2022). The hybrid conformal bootstrap. Perimeter Institute. https://pirsa.org/22050053


Su, Ning. The hybrid conformal bootstrap. Perimeter Institute, May. 31, 2022, https://pirsa.org/22050053


          @misc{ pirsa_22050053,
            doi = {},
            url = {https://pirsa.org/22050053},
            author = {Su, Ning},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {The hybrid conformal bootstrap},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {may},
            note = {PIRSA:22050053 see, \url{https://pirsa.org}}


Three dimensional conformal field theories(CFTs) describe important critical physics in the real world. In the past few years much progress has been made in 3D CFTs using the conformal bootstrap. In particular, using numerical bootstrap, the critical exponents of the 3D Ising, Super-Ising, O(2), O(3) CFTs have been determined precisely with rigorous error bars, while using analytic bootstrap, the information of the leading twist operators at large spins can be computed analytically. The two bootstrap approaches are sensitive to different regions of the spectrum and complement each other. In this talk, I will first give a general review of the numerical bootstrap and analytic bootstrap. Then I will discuss how to combine the numerical bootstrap with the analytic lightcone bootstrap, i.e. a hybrid bootstrap method. As a result, the bootstrap prediction for the actual CFT can be significantly improved.

Zoom Link: https://pitp.zoom.us/j/94186668943?pwd=ejRRb0M4VXNjeVVCWGdnTHQyaWRyQT09