Holographic representation of bulk fields with spin in AdS/CFT

Understand

We develop the representation of bulk fields with spin one and spin two in anti-de Sitter space, as non-local observables in the dual CFT.

• Working in holographic gauge in the bulk, at leading order in 1/N bulk gauge fields are obtained by smearing boundary currents over a sphere on the complexified boundary, while linearized metric fluctuations are obtained by smearing the boundary stress tensor over a ball.
• This representation respects AdS covariance up to a compensating gauge transformation.
• We also consider massive vector fields, where the bulk field is obtained by smearing a non-conserved current.