Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-12-20
Physics
High Energy Physics
High Energy Physics - Theory
4 pages
Scientific paper
Cold interacting fermions in two dimensions form exactly solvable Luttinger liquids, whose characteristic scaling exponents differ from those of conventional Fermi liquids. We use the AdS/CFT correspondence to discuss an equivalence between a class of helical, strongly coupled Luttinger liquids and fermions propagating in the background of a 3D black hole. The microscopic Lagrangian is explicitly known and the construction is fully embeddable in string theory. The retarded Green function at low temperature and energy arises from the geometry very near the black hole horizon. This structure is universal for all cold, charged liquids with a dual description in gravity.
Balasubramanian Vijay
García-Etxebarria Iñaki
Larsen Finn
Simon Jonathan
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