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Supersymmetry In The Two-Anyon Problem

Chitra, R and Kumar, Nagaraja C and Sen, Diptiman (1992) Supersymmetry In The Two-Anyon Problem. In: Modern Physics Letters A, 7 (10). pp. 855-863.

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Official URL: http://www.worldscinet.com/mpla/07/0710/S021773239...


We show that the problem of two anyons interacting through a simple harmonic potential or a Coulomb potential is supersymmetric. The supersymmetry operators map a theory described by statistics parameter θ to one described by π+θ. Thus fermions and bosons go into each other, while semions are supersymmetric by themselves. The simple harmonic problem has a Sp(4) symmetry for any value of θ which explains the energy degeneracies.

Item Type: Journal Article
Publication: Modern Physics Letters A
Publisher: World Scientific Publishing Company
Additional Information: Copyright of this article belongs to World Scientific Publishing Company.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Division of Physical & Mathematical Sciences > Physics
Date Deposited: 30 May 2011 06:04
Last Modified: 30 May 2011 06:04
URI: http://eprints.iisc.ac.in/id/eprint/37747

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