Quantum symmetry and braid group statistics inG-spin models

1993 ◽  
Vol 156 (1) ◽  
pp. 127-168 ◽  
Author(s):  
K. Szlachányi ◽  
P. Vecsernyés
Keyword(s):  
Braid Group ◽  
Spin Models ◽  
Quantum Symmetry ◽  
Braid Group Statistics

SUPERSELECTION SECTORS WITH BRAID GROUP STATISTICS AND EXCHANGE ALGEBRAS II: GEOMETRIC ASPECTS AND CONFORMAL COVARIANCE

1992 ◽  
Vol 04 (spec01) ◽  
pp. 113-157 ◽  
Author(s):  
KLAUS FREDENHAGEN ◽  
KARL-HENNING REHREN ◽  
BERT SCHROER
Keyword(s):  
Braid Group ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Conformal Field Theories ◽  
Cpt Symmetry ◽  
Conformal Field ◽  
Exchange Algebra ◽  
Braid Group Statistics ◽  
Almost All ◽  
Conformal Covariance

The general theory of superselection sectors is shown to provide almost all the structure observed in two-dimensional conformal field theories. Its application to two-dimensional conformally covariant and three-dimensional Poincaré covariant theories yields a general spin-statistics connection previously encountered in more special situations. CPT symmetry can be shown also in the absence of local (anti-) commutation relations, if the braid group statistics is expressed in the form of an exchange algebra.

scholarly journals BRAID GROUP STATISTICS IN TWO-DIMENSIONAL QUANTUM FIELD THEORY

1996 ◽  
Vol 08 (07) ◽  
pp. 907-924 ◽  
Author(s):  
C. ADLER
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Braid Group ◽  
Scattering Theory ◽  
Quantum Field ◽  
Two Dimensional ◽  
Algebraic Quantum Field Theory ◽  
Algebraic Quantum ◽  
Dimensional Minkowski Space ◽  
Braid Group Statistics

Within the framework of algebraic quantum field theory, we construct explicitly localized morphisms of a Haag-Kastler net in 1+1-dimensional Minkowski space showing abelian braid group statistics. Moreover, we investigate the scattering theory of the corresponding quantum fields.

Superselection sectors with braid group statistics and exchange algebras

1989 ◽  
Vol 125 (2) ◽  
pp. 201-226 ◽  
Author(s):  
K. Fredenhagen ◽  
K. H. Rehren ◽  
B. Schroer
Keyword(s):  
Braid Group ◽  
Braid Group Statistics

Braid Group Statistics

1991 ◽  
pp. 141-170 ◽  
Author(s):  
K.-H. Rehren
Keyword(s):  
Braid Group ◽  
Braid Group Statistics
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