Linearized field equations of gauge fields from the entanglement first law

Abstract

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.

Keywords

• AdS-CFT Correspondence
• Gauge-gravity correspondence