Year: 2009
Type: article
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 $\mathcal{N}=2$ large $N$ gauge theories in $2+1$ 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.
Authors: Frederik Denef, Sean A. Hartnoll
Institutions: Harvard University, KU Leuven
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2009666593