2012/04/30 by Daniel Kabat, Gilad Lifschytz, Shubho Roy +1 · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.86.026004
45 pages, LaTeX, 1 figure. v2: corrected typo in equation (75)
arxiv created 2012/07/20 · arxiv updated 2013/05/29
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. We compute bulk two-point functions and show that bulk locality is respected. We show how to include interactions of massive vectors using 1/N perturbation theory, and we comment on the issue of general backgrounds.