PIRSA:15030074

4-point functions, 3D gravity and the 2D analytic bootstrap

Perlmutter, E. (2015). 4-point functions, 3D gravity and the 2D analytic bootstrap. Perimeter Institute. https://pirsa.org/15030074

Perlmutter, Eric. 4-point functions, 3D gravity and the 2D analytic bootstrap. Perimeter Institute, Mar. 31, 2015, https://pirsa.org/15030074 

          @misc{ pirsa_PIRSA:15030074,
            doi = {10.48660/15030074},
            url = {https://pirsa.org/15030074},
            author = {Perlmutter, Eric},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = { 4-point functions, 3D gravity and the 2D analytic bootstrap},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {mar},
            note = {PIRSA:15030074 see, \url{https://pirsa.org}}
          }

Eric Perlmutter

Princeton University

Talk number
PIRSA:15030074
Collection
Talk Type
Subject
Abstract

We will discuss techniques for computing 4-point functions of local operators in 2D conformal field theories, and their implications for semiclassical 3D quantum gravity. For generic 4-point functions, we present new closed-form expansions of the Virasoro conformal blocks. Specializing to correlators of holomorphic operators, these can be efficiently and exactly determined using an analytic implementation of the conformal bootstrap. Applying this method to the sewing construction of 2D CFT partition functions, we compute, via AdS/CFT, the semiclassical expansion of pure 3D quantum gravity around saddle point geometries of genus two; unlike at genus one, this expansion does not truncate at finite loop order.