Superselection Sectors with Braid Group Statistics and Exchange Algebras. 1. General Theory

Fredenhagen, K.; Rehren, Karl-Henning; Schroer, B.

doi:10.1007/BF01217906

Superselection Sectors with Braid Group Statistics and Exchange Algebras. 1. General Theory

K. Fredenhagen
(
- Freie U., Berlin
)
,
Karl-Henning Rehren
(
- Freie U., Berlin
)
,
B. Schroer
(
- Freie U., Berlin
)

Sep, 1988

44 pages

Published in:

Commun.Math.Phys. 125 (1989) 201

DOI:

10.1007/BF01217906

Report number:

PRINT-89-0027 (BERLIN)

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Abstract: (Springer)

The theory of superselection sectors is generalized to situations in which normal statistics has to be replaced by braid group statistics. The essential role of the positive Markov trace of algebraic quantum field theory for this analysis is explained, and the relation to exchange algebras is established.

axiomatic field theory
operator: algebra
spin: statistics
braid group
GROUP THEORY: BRAID GROUP

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