PIRSA:22040104

Conformal blocks in diverse dimensions and the superconformal cauchy identity

APA

Aprile, F. (2022). Conformal blocks in diverse dimensions and the superconformal cauchy identity. Perimeter Institute. https://pirsa.org/22040104

MLA

Aprile, Francesco. Conformal blocks in diverse dimensions and the superconformal cauchy identity. Perimeter Institute, Apr. 05, 2022, https://pirsa.org/22040104

BibTex

          @misc{ pirsa_22040104,
            doi = {},
            url = {https://pirsa.org/22040104},
            author = {Aprile, Francesco},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Conformal blocks in diverse dimensions and the superconformal cauchy identity},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {apr},
            note = {PIRSA:22040104 see, \url{https://pirsa.org}}
          }
          

Abstract

I will describe 4pt conformal blocks for scalar operators in diverse dimensions by using a single unified formalism, and explain a property of the conformal blocks known as stability. This stability implies that when writing conformal blocks as certain multivariate series, the coefficients of this expansion only depend on Young diagrams. In particular, we can bosonise the conformal computation and simply focus on compact groups. In this framework the blocks are polynomials of the BC root system after we apply complementation. I will then explain the connection with mathematics and show how to formulate a superconformal Cauchy identity which yields the CPW of any free theory diagram in any dimension. For discussion, I will finally mention q-deformations results.

Zoom Link: https://pitp.zoom.us/j/96912692269?pwd=TE8vT01mam9lQjhVV3VSYUtWR2d5Zz09