Generating charge from diffeomorphisms

2006/06/30 by James E. Hansen, James Hansen, Per Kraus
Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Cosmology and Gravitation Theories #Particle physics #Physics #Quantum Electrodynamics and Casimir Effect #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/12/009

published as JHEP0612:009,2006 · 19 pages. V2: minor changes. V3: added references

arxiv created 2006/09/18 · openalex publication_date 2006/12/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We unravel some subtleties involving the definition of sphere angular momentum charges in AdS_q × S^p spacetimes, or equivalently, R-symmetry charges in the dual boundary CFT. In the AdS₃ context, it is known that charges can be generated by coordinate transformations, even though the underlying theory is diffeomorphism invariant. This is the bulk version of spectral flow in the boundary CFT. We trace this behavior back to special properties of the p-form field strength supporting the solution, and derive the explicit formulas for angular momentum charges. This analysis also reveals the higher dimensional origin of three dimensional Chern-Simons terms and of chiral anomalies in the boundary theory.

Citations

• Higher dimensional formulation of counterterms
• Near-horizon geometry and black holes in four dimensions
• Remarks on the canonical quantization of the Chern-Simons-Witten theory
• Non-abelian tensor-multiplet anomalies
• Comparison between various notions of conserved charges in asymptotically AdS spacetimes
• Lecture Notes on Holographic Renormalization