PIRSA:17040028

Bootstrapping the spectral function

APA

Yin, X. (2017). Bootstrapping the spectral function. Perimeter Institute. https://pirsa.org/17040028

MLA

Yin, Xi. Bootstrapping the spectral function. Perimeter Institute, Apr. 04, 2017, https://pirsa.org/17040028

BibTex

          @misc{ pirsa_PIRSA:17040028,
            doi = {10.48660/17040028},
            url = {https://pirsa.org/17040028},
            author = {Yin, Xi},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Bootstrapping the spectral function},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {apr},
            note = {PIRSA:17040028 see, \url{https://pirsa.org}}
          }
          

Xi Yin Harvard University

Abstract

I will introduce the spectral function method in the context of conformal bootstrap. I will discuss some applications of this method in two dimensions: (1) substantial evidence for the conjecture that the only unitary c>1 CFT with Virasoro primaries of bounded spin is Liouville theory, (2) detailed modular constraints on the spectrum of small c CFTs, (3) spectral density of large c CFTs with large gap, in connection to the (non-)universality of BTZ black hole entropy.