Diffeomorphism groups, anyon fields, and q commutators

TY - JOUR

T1 - Diffeomorphism groups, anyon fields, and q commutators

AU - Goldin, Gerald A.

AU - Sharp, David H.

PY - 1996

Y1 - 1996

N2 - We construct explicit anyon fields from unitary representations of the group diffeomorphisms of the plane, realizing braid group elements as paths in the plane transforming naturally under diffeomorphisms. The fields satisfy q-commutation relations, where q is the anyonic phase shift.

AB - We construct explicit anyon fields from unitary representations of the group diffeomorphisms of the plane, realizing braid group elements as paths in the plane transforming naturally under diffeomorphisms. The fields satisfy q-commutation relations, where q is the anyonic phase shift.

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U2 - https://doi.org/10.1103/PhysRevLett.76.1183

DO - https://doi.org/10.1103/PhysRevLett.76.1183

M3 - Article

SN - 0031-9007

VL - 76

SP - 1183

EP - 1187

JO - Physical review letters

JF - Physical review letters

IS - 8

ER -