Linearized Field Equations of Gauge Fields from the Entanglement First Law

Abstract

In the context of the AdS/CFT correspondence linearized field equations of vector and antisymmetric tensor gauge fields around an AdS background are obtained from the entanglement first law of CFTs. The holographic charged entanglement entropy contains a term depending on the gauge field in addition to the Ryu-Takayanagi formula.

20 pages, v2: references added, v3: 23 pages, comments added, v4: typos

References in corpus (5)

• Towards a derivation of holographic entanglement entropy
• Entanglement entropy: holography and renormalization group
• Chemical Potential in the First Law for Holographic Entanglement Entropy
• Tomography from Entanglement
• Equivalent Equations of Motion for Gravity and Entropy

Cited by in corpus (1)

• Quantum information probes of charge fractionalization in large-$N$ gauge theories