Landscape of Superconducting Membranes

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Landscape of Superconducting Membranes

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Title: Landscape of Superconducting Membranes
Author: Denef, Frederik; Hartnoll, Sean

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Citation: Denef, Frederik, and Sean A. Hartnoll. 2009. Landscape of superconducting membranes. Physical Review D 79:126008.
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Abstract: The AdS/CFT correspondence may connect the landscape of string vacua and the `atomic landscape' of condensed matter physics. We study the stability of a landscape of IR fixed points of N=2 large N gauge theories in 2+1 dimensions, dual to Sasaki-Einstein compactifications of M theory, towards a superconducting state. By exhibiting instabilities of charged black holes in these compactifications, we show that many of these theories have charged operators that condense when the theory is placed at a finite chemical potential. We compute a statistical distribution of critical superconducting temperatures for a subset of these theories. With a chemical potential of one milliVolt, we find critical temperatures ranging between 0.24 and 165 degrees Kelvin.
Published Version: doi:10.1103/PhysRevD.79.126008
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