On a lightlike limit of entanglement

Abstract

We study certain classes of $g_{++}$ deformations of theories arising in gauge/string realizations of nonrelativistic holography, some of which pertain to $z=2$ Lifshitz theories while others (pertaining to hyperscaling violation) comprise certain classes of excited states. Building on previous work, we consider holographic entanglement entropy for spacelike strip subsystems in a highly boosted (lightlike) limit, where the strip is stretched along the null $x^{+}$-plane. The leading divergence in entanglement in this null limit for these excited states is milder than the usual area law for spacelike subsystems in ground states. For ground states, the entanglement vanishes, perhaps consistent with ultralocality. We discuss this briefly from a field theory perspective. We also present some simple free lightfront field theory examples in excited states where correlators are nonvanishing.

Latex, 13pgs; v3, 14pgs, clarifications added, matches published version

References in corpus (13)

• Effective Holographic Theories for low-temperature condensed matter systems
• Non-relativistic holography
• Thermodynamical Property of Entanglement Entropy for Excited States
• Lifshitz Solutions of D=10 and D=11 supergravity
• Proof of a Quantum Bousso Bound
• Entropy on a null surface for interacting quantum field theories and the Bousso bound
• Wrapped M5-branes, consistent truncations and AdS/CMT
• Constructing Lifshitz solutions from AdS
• Lifshitz solutions in supergravity and string theory
• Entanglement Thermodynamics
• Holography for chiral scale-invariant models
• AdS plane waves, entanglement and mutual information
• Scattering amplitudes in Lifshitz spacetime