Construction of Bulk Fields with Gauge Redundancy
Idse Heemskerk
TL;DR
This paper extends the construction of bulk field operators in AdS/CFT to gauge fields and gravity, highlighting the role of gauge invariance and non-local commutators due to Gauss law constraints.
Contribution
It introduces a method to construct gauge-invariant bulk operators in AdS/CFT using a generalized Coulomb gauge, revealing the non-local nature of these operators.
Findings
Derived leading order smearing functions in radial gauge.
Showed non-local commutators arise from Gauss law constraints.
Extended the operator construction to gauge fields and gravity.
Abstract
We extend the construction of field operators in AdS as smeared single trace operators in the boundary CFT to gauge fields and gravity. Bulk field operators in a fixed gauge can be thought of as non-local gauge invariant observables. Non-local commutators result from the Gauss law constraint, which for gravity implies a perturbative notion of holography. We work out these commutators in a generalized Coulomb gauge and obtain leading order smearing functions in radial gauge.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.