Exotic Galilean conformal symmetry and its dynamical realisations
نویسندگان
چکیده
منابع مشابه
Exotic Galilean Conformal Symmetry and Its Dynamical Realisations
The six-dimensional exotic Galilean algebra in (2+1) dimensions with two central charges m and θ, is extended when m = 0, to a tendimensional Galilean conformal algebra with dilatation, expansion, two acceleration generators and the central charge θ. A realisation of such a symmetry is provided by a model with higher derivatives recently discussed in [1]. We consider also a realisation of the G...
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A slightly modified and regularized version of the non-relativistic limit of the relativistic anyon model considered by Jackiw and Nair yields particles associated with the twofold central extension of the Galilei group, with independent spin and exotic structure.
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Some aspects of the “exotic” particle, associated with the two-parameter central extension of the planar Galilei group are reviewed. A fundamental property is that it has non-commuting position coordinates. Other and generalized non-commutative models are also discussed. Minimal as well as anomalous coupling to an external electromagnetic field is presented. Supersymmetric extension is also con...
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The “Laughlin” picture of the Fractional Quantum Hall effect can be derived using the “exotic” model based on the two-fold centrally-extended planar Galilei group. When coupled to a planar magnetic field of critical strength determined by the extension parameters, the system becomes singular, and “Faddeev-Jackiw” reduction yields the “Chern-Simons” mechanics of Dunne, Jackiw, and Trugenberger. ...
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The model invariant with respect to the two-fold centrally extended Galilei group proposed by Lukierski et al. can be decomposed into an infinite number of independent copies (differing in their spin) of the “exotic” particle of Duval et al. Interpreted as describing a non-relativistic anyon, this model is the non-relativistic limit of a particle with torsion related to relativistic anyons. As ...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2006
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2006.04.016