The emergence of superconducting systems in Anti-de Sitter space

A bstract In this article, we investigate the mathematical relationship between a (3+1) dimensional gravity model inside Anti-de Sitter space AdS 4 , and a (2+1) dimensional superconducting system on the asymptotically flat boundary of AdS 4 (in the absence of gravity). We consider a simple case of...

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Bibliographic Details
Published in:The journal of high energy physics 2016-10, Vol.2016 (10), p.1-14, Article 17
Main Authors: Wu, W.M., Pierpoint, M.P., Forrester, D.M., Kusmartsev, F.V.
Format: Article
Language:English
Subjects:
Asymptotic properties
Boundaries
Classical and Quantum Gravitation
Differential equations
Elementary Particles
Flexibility
Gravitation
High energy physics
Mathematical models
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Superconductivity
Transition temperature
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Summary:A bstract In this article, we investigate the mathematical relationship between a (3+1) dimensional gravity model inside Anti-de Sitter space AdS 4 , and a (2+1) dimensional superconducting system on the asymptotically flat boundary of AdS 4 (in the absence of gravity). We consider a simple case of the Type II superconducting model (in terms of Ginzburg-Landau theory) with an external perpendicular magnetic field H . An interaction potential V ( r, ψ ) = α ( T )| ψ | 2 /r 2 + χ | ψ | 2 /L 2 + β | ψ | 4 / (2 r k ) is introduced within the Lagrangian system. This provides more flexibility within the model, when the superconducting system is close to the transition temperature T c . Overall, our result demonstrates that the Ginzburg-Landau differential equations can be directly deduced from Einstein’s theory of general relativity.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2016)017