title: From scale invariance to Lorentz symmetry.
abstract: It is shown that a unitary translationally invariant field theory in 1+1 dimensions, satisfying isotropic scale invariance, standard assumptions about the spectrum of states and operators, and the requirement that signals propagate with finite velocity, possesses an infinite dimensional symmetry given by one or a product of several copies of conformal algebra. In particular, this implies the presence of one or several Lorentz groups acting on the operator algebra of the theory.
authors.affiliation: Theory Group, Physics Department, CERN, CH-1211 Geneva 23, Switzerland; FSB/ITP/LPPC, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland; and Institute for Nuclear Research of the Russian Academy of Sciences, 60th October Anniversary Prospect, 7a, 117312 Moscow, Russia.
authors.forename: Sergey
authors.initials: S
authors.lastname: Sibiryakov