On Soliton Automorphisms in Massive and Conformal Theories

Details On Soliton Automorphisms in Massive and Conformal Theories On Soliton Automorphisms in Massive and Conformal Theories

1998-03-06

arxiv.org/abs/hep-th/9803057v2

Rev.Math.Phys. 11 (1999) 337-359

Physics

High Energy Physics

High Energy Physics - Theory

latex2e, 20 pages. Proof of Thm. 3.14 corrected, 2 references added. Final version as to appear in Rev. Math. Phys

Scientific paper

For massive and conformal quantum field theories in 1+1 dimensions with a global gauge group we consider soliton automorphisms, viz. automorphisms of the quasilocal algebra which act like two different global symmetry transformations on the left and right spacelike complements of a bounded region. We give a unified treatment by providing a necessary and sufficient condition for the existence and Poincare' covariance of soliton automorphisms which is applicable to a large class of theories. In particular, our construction applies to the QFT models with the local Fock property -- in which case the latter property is the only input from constructive QFT we need -- and to holomorphic conformal field theories. In conformal QFT soliton representations appear as twisted sectors, and in a subsequent paper our results will be used to give a rigorous analysis of the superselection structure of orbifolds of holomorphic theories.

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