Holographic representation of bulk fields with spin in AdS/CFT

Authors

Daniel N. Kabat, CUNY Lehman CollegeFollow
Gilad Lifschytz, University of Haifa at Oranim
Shubho Roy, CUNY City College of New York; CUNY Lehman College
Debajyoti Sarkar, CUNY Graduate Center, CUNY Lehman College

Document Type

Report

Publication Date

2012

Abstract

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.

Comments

Kabat, D.N., Lifschytz, G., Roy, S., & Sarkar, D. (2012). Holographic representation of bulk fields with spin in AdS/CFT. Report NSF-KITP-12-045 DOI: 10.1103/PhysRevD.86.026004