Noncommutative Extension of AdS-CFT and Holographic Superconductors

Abstract

In this Letter, we consider a Non-Commutative (NC) extension of AdS-CFT correspondence and its effects on holographic superconductors. NC corrections are incorporated via the NC generalization of Schwarzschild black hole metric in AdS with the probe limit. We study NC effects on the relations connecting the charge density and the critical temperature of the Holographic Superconductors. Furthermore, condensation operator of the superconductor has been analyzed. Our results suggest that generically, NC effects increase the critical temperature of the holographic superconductor.Comment: One figure is added, modification in formalism and noncommutative effects emergent from star product has been removed. Results altered but main conclusions remain unchanged. To appear in Phys.Lett.