The analytic bootstrap equations of non-diagonal two-dimensional CFT - CEA - Commissariat à l’énergie atomique et aux énergies alternatives Access content directly
Journal Articles Journal of High Energy Physics Year : 2018

The analytic bootstrap equations of non-diagonal two-dimensional CFT

Abstract

Under the assumption that degenerate fields exist, diagonal CFTs such as Liouville theory can be solved analytically using the conformal bootstrap method. Here we generalize this approach to non-diagonal CFTs, i.e. CFTs whose primary fields have nonzero conformal spins. Assuming generic values of the central charge, we find that the non-diagonal sector of the spectrum must be parametrized by two integer numbers. We then derive and solve the equations that determine how three-and four-point structure constants depend on these numbers. In order to test these results, we numerically check crossing symmetry of a class of four-point functions in a non-rational limit of D-series minimal models. The simplest four-point functions in this class were previously argued to describe connectivities of clusters in the critical Potts model.
Fichier principal
Vignette du fichier
1711.08916.pdf (305.73 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

cea-01695664 , version 1 (29-01-2018)

Identifiers

Cite

Santiago Migliaccio, Sylvain Ribault. The analytic bootstrap equations of non-diagonal two-dimensional CFT. Journal of High Energy Physics, 2018, 2018, pp.169. ⟨10.1007/JHEP05(2018)169⟩. ⟨cea-01695664⟩
59 View
87 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More