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Diffeomorphism groups and anyon fields

Conference ·
OSTI ID:96965
 [1];  [2]
  1. Rutgers Univ., New Brunswick, NJ (United States)
  2. Los Alamos National Lab., NM (United States)
We make use of unitary representations of the group of diffeomorphisms of the plane to construct an explicit field theory of anyons. The resulting anyon fields satisfy q-commutators, where q is the well-known phase shift associated with a single counterclockwise exchange of a pair of anyons. Our method uses a realization of the braid group by means of paths in the plane, that transform naturally under diffeomorphisms of R{sup 2}.
Research Organization:
Los Alamos National Lab., NM (United States)
Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
W-7405-ENG-36
OSTI ID:
96965
Report Number(s):
LA-UR--95-2268; CONF-9507165--1; ON: DE95016830
Country of Publication:
United States
Language:
English

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