cea-01695664
https://cea.hal.science/cea-01695664
https://cea.hal.science/cea-01695664/document
https://cea.hal.science/cea-01695664/file/1711.08916.pdf
arxiv:1711.08916
doi:10.1007/JHEP05(2018)169
[CEA] CEA - Commissariat à l'énergie atomique
[CNRS] CNRS - Centre national de la recherche scientifique
[DSM-IPHT] IPHT
[CEA-UPSAY] CEA - Université Paris-Saclay
[UNIV-PARIS-SACLAY] Université Paris-Saclay
[CEA-UPSAY-SACLAY] CEA-UPSAY-SACLAY
[CEA-DRF] Direction de Recherche Fondamentale
[TEST-HALCNRS] Collection test HAL CNRS
[GS-MATHEMATIQUES] Graduate School Mathématiques
[GS-PHYSIQUE] Graduate School Physique
The analytic bootstrap equations of non-diagonal two-dimensional CFT
Migliaccio, Santiago
Ribault, Sylvain
[PHYS] Physics [physics]
ART
High Energy Physics - Theory (hep-th)
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.
2018-05-28
2018-01-29
en
Journal of High Energy Physics
Springer