Landscape of superconducting membranes

Details Landscape of superconducting membranes Landscape of superconducting membranes

2009-01-09

arxiv.org/abs/0901.1160v2

Physics

High Energy Physics

High Energy Physics - Theory

1+34 pages. 3 figures. v2 references added, typos fixed

Scientific paper

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.

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