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arXiv · 1610.08757

Holographic P-wave Superconductors in 1+1 Dimensions

Gokhan Alkac·Shankhadeep Chakrabortty·Pankaj Chaturvedi
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Abstract

We study $(1+1)$-dimensional p-wave holographic superconductors described by three dimensional Einstein-Maxwell gravity coupled to a massive complex vector field in the context of $AdS_3/CFT_2$ correspondence. In the probe limit where the backreation of matter fields is neglected, we show that there occurs a formation of a vector hair around the black hole below a certain critical temperature. In the dual strongly coupled $(1+1)$-dimensional boundary theory, this holographically corresponds to the formation of a charged vector condensate spontaneously breaking both the $U(1)$ and $SO(1,1)$ symmetries. We numerically compute the ac conductivity for the superconducting phase of the boundary field theory and find that the presence of a magnetic moment term in the dual bulk theory effects the conductivity in the boundary field theory.

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Gokhan Alkac, Shankhadeep Chakrabortty, Pankaj Chaturvedi. 2016-10-27. Holographic P-wave Superconductors in 1+1 Dimensions. https://doi.org/10.1103/physrevd.96.086001

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