Quantum fields in anti-de Sitter space and the Maldacena conjecture

Braga, Nelson R. F.

doi:10.1590/s0103-97332002000500010

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“…The line element of AdS 4 is given by [36] with the system defined by Poincare coordinates x µ = {t, r, x, y} [42]. The metric g µν is chosen as…”

Section: Gravity Modelmentioning

confidence: 99%

The emergence of superconducting systems in Anti-de Sitter space

Pierpoint

Forrester

et al. 2016

J. High Energ. Phys.

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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 /(2r 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.

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“…The line element of AdS 4 is given by [36] with the system defined by Poincare coordinates x µ = {t, r, x, y} [42]. The metric g µν is chosen as…”

Section: Gravity Modelmentioning

confidence: 99%