braid group statistics
Recently Published Documents


TOTAL DOCUMENTS

12
(FIVE YEARS 0)

H-INDEX

5
(FIVE YEARS 0)

1996 ◽  
Vol 08 (07) ◽  
pp. 907-924 ◽  
Author(s):  
C. ADLER

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.


1994 ◽  
Vol 09 (03) ◽  
pp. 313-325 ◽  
Author(s):  
FRANCO FERRARI

In this paper we study a class of theories of free particles on the complex plane satisfying a non-Abelian statistics. This kind of particles are generalizations of the anyons and are sometimes called plectons. The peculiarity of these theories is that they are associated to free conformal field theories defined on Riemann surfaces with a discrete and non-Abelian group of authomorphisms Dm. More explicitly, the plectons appear here as “induced vertex operators” that simulate, on the complex plane, the nontrivial topology of the Riemann surface. In order to express the local exchange algebra of the particles, one is led to introduce an R matrix satisfying a multiparameter generalization of the usual Yang-Baxter equations. It is interesting that analogous generalizations have already been investigated in connection with integrable models, in which the spectral parameter takes its values on a Riemann surface that is in many respects similar to the Riemann surfaces we are studying here. The explicit form of the R matrices mentioned above can be also used to define a multiparameter version of the quantum complex hyperplane.


1993 ◽  
Vol 156 (1) ◽  
pp. 127-168 ◽  
Author(s):  
K. Szlachányi ◽  
P. Vecsernyés

1992 ◽  
Vol 04 (spec01) ◽  
pp. 113-157 ◽  
Author(s):  
KLAUS FREDENHAGEN ◽  
KARL-HENNING REHREN ◽  
BERT SCHROER

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.


Sign in / Sign up

Export Citation Format

Share Document