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Helical Luttinger Liquids and Three Dimensional Black Holes

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arxiv 1012.4363 v1 pith:FHSQBNEX submitted 2010-12-20 hep-th cond-mat.str-el

Vijay Balasubramanian , Iñaki García-Etxebarria , Finn Larsen , Joan Simón This is my paper
classification hep-thcond-mat.str-el
keywords liquidsblackluttingercoldfermionshelicalholearises
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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.

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  1. Instability of Black Holes in AdS$_3 \times S^3$

    hep-th 2025-07 conditional novelty 6.0 of 10

    Near-extremal AdS3 x S3 black holes are thermodynamically and dynamically unstable, decaying to a central black hole plus chiral primaries or new macroscopic giant strings.

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