Holographic representation of bulk fields with spin in AdS/CFT

Details Holographic representation of bulk fields with spin in AdS/CFT Holographic representation of bulk fields with spin in AdS/CFT

2012-03-31

arxiv.org/abs/1204.0126v1

Physics

High Energy Physics

High Energy Physics - Theory

45 pages, LaTeX, 1 figure

Scientific paper

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.

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