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 large gauge theories in dimensions, dual to Sasaki-Einstein compactifications of M theory, toward 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 1 mV, we find critical temperatures ranging between 0.24 and 165 K.
- Received 20 March 2009
DOI:https://doi.org/10.1103/PhysRevD.79.126008
©2009 American Physical Society