Precise critical exponents from conformal bootstrap

by Alessandro Vichi (CERN)

Monday 17 Nov 2014, 14:00 → 15:00 Europe/Zurich

EPFL, Cubotron 727, Lausanne

The past few years have seen great progress in the understanding of Conformal Field
Theories (CFTs). We review the ’conformal bootstrap program’, namely the use of
unitarity and crossing symmetry to extract quantitative informations about CFTs. We
use the conformal bootstrap to perform a precision study of the operator spectrum
of the critical 3d Ising model and reconstruct the first several operator dimensions
and their OPE coefficients. These translate into the most precise determination of the
critical exponent to date.