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Title: Fractional statistics from gravitation

Abstract

We show that the solitons of the SO(3) nonlinear sigma model in 2+1 dimensions, when coupled to gravitation with the gravitational Chern-Simons interaction, become anyons in the absence of the Hopf term. In particular we calculate the fractional statistical factor of the gravitating anyons, and prove that the gravitational Chern-Simons term itself can be interpreted as the Hopf term of the topological current of [Pi][sub 2]([ital S][sup 2]).

Authors:
 [1];  [2]
  1. (School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540 (United States))
  2. (Center for Theoretical Physics, Seoul National University, Seoul, 151-742 (Korea, Republic of))
Publication Date:
OSTI Identifier:
7116943
Alternate Identifier(s):
OSTI ID: 7116943
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review, D (Particles Fields); (United States); Journal Volume: 49:12
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GRAVITATION; STATISTICAL MECHANICS; SIGMA MODEL; SOLITONS; ANYONS; NONLINEAR PROBLEMS; SO-3 GROUPS; THREE-DIMENSIONAL CALCULATIONS; BOSON-EXCHANGE MODELS; LIE GROUPS; MATHEMATICAL MODELS; MECHANICS; PARTICLE MODELS; PERIPHERAL MODELS; QUASI PARTICLES; SO GROUPS; SYMMETRY GROUPS 662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-); 661310 -- Relativity & Gravitation-- (1992-); 661300 -- Other Aspects of Physical Science-- (1992-)

Citation Formats

Cho, Y.M., and Park, D.H.. Fractional statistics from gravitation. United States: N. p., 1994. Web. doi:10.1103/PhysRevD.49.R6269.
Cho, Y.M., & Park, D.H.. Fractional statistics from gravitation. United States. doi:10.1103/PhysRevD.49.R6269.
Cho, Y.M., and Park, D.H.. Wed . "Fractional statistics from gravitation". United States. doi:10.1103/PhysRevD.49.R6269.
@article{osti_7116943,
title = {Fractional statistics from gravitation},
author = {Cho, Y.M. and Park, D.H.},
abstractNote = {We show that the solitons of the SO(3) nonlinear sigma model in 2+1 dimensions, when coupled to gravitation with the gravitational Chern-Simons interaction, become anyons in the absence of the Hopf term. In particular we calculate the fractional statistical factor of the gravitating anyons, and prove that the gravitational Chern-Simons term itself can be interpreted as the Hopf term of the topological current of [Pi][sub 2]([ital S][sup 2]).},
doi = {10.1103/PhysRevD.49.R6269},
journal = {Physical Review, D (Particles Fields); (United States)},
number = ,
volume = 49:12,
place = {United States},
year = {Wed Jun 15 00:00:00 EDT 1994},
month = {Wed Jun 15 00:00:00 EDT 1994}
}