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Chern-Simons vortices and holography

Roychowdhury, Dibakar (2014) Chern-Simons vortices and holography. In: JOURNAL OF HIGH ENERGY PHYSICS (10).

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Official URL: http://dx.doi.org/ 10.1007/JHEP10(2014)018

Abstract

In this paper, based on the AdS(4)/CFT3 duality, we have explored the precise connection between the abelian Chern-Simons (CS) Higgs model in (2 + 1) dimensions to that with its dual gravitational counterpart living in one higher dimension. It has been observed that theU(1) current computed at the boundary of the AdS(4) could be expressed as the local function of the vortex solution that has the remarkable structural similarity to that with the Ginzburg-Landau (GL) type local expression for the current associated with the Maxwell-CS type vortices in (2 + 1) dimensions. In order to explore this duality a bit further we have also computed the coherence length as well as the magnetic penetration depth associated with these vortices. Finally using the knowledge of both the coherence length as well as the magnetic penetration depth we have computed the Ginzburg-Landau coefficient for the Maxwell-CS type vortices in (2 + 1) dimensions.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Keywords: Gauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT); Black Holes
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 14 Nov 2014 07:26
Last Modified: 14 Nov 2014 07:26
URI: http://eprints.iisc.ac.in/id/eprint/50256

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