"$1k_F$" Singularities and Finite Density ABJM Theory at Strong Coupling

Abstract

We study non-analytic behavior in the static charge susceptibility in finite density states of the ABJM theory using its holographic dual. Emphasis is placed on a particular state characterized by vanishing entropy density at zero temperature, and Fermi surface-like singularities in various fermionic correlation functions. The susceptibility exhibits branch points in the complex momentum plane, with a real part quantitatively very similar to the location of the Fermi surface singularities.

29 pages, 5 figures; v2: Minor additions to overview and discussion, some references added, version to appear in JHEP

References in corpus (6)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Boundary Terms and Three-Point Functions: An AdS/CFT Puzzle Resolved
• Aspects of Renormalization in Finite Density Field Theory
• Fluctuations in finite density holographic quantum liquids
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Cited by in corpus (2)

• A Framework for Studying a Quantum Critical Metal in the Limit $N_f\to 0$
• Holographic Magnetic Susceptibility