Generating Charge from Diffeomorphisms

Abstract

We unravel some subtleties involving the definition of sphere angular momentum charges in AdS_q \times S^p spacetimes, or equivalently, R-symmetry charges in the dual boundary CFT. In the AdS_3 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.

19 pages. V2: minor changes. V3: added references

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Cited by in corpus (20)

• Nonperturbative black hole entropy and Kloosterman sums
• Supersymmetric Index from Black Hole Entropy
• Black hole bound states in AdS_3 x S^2
• Scalar fields and three-point functions in D=3 higher spin gravity
• F-Theory, Spinning Black Holes and Multi-string Branches
• F-theory and AdS_3/CFT_2
• Chiral anomalies and AdS/CMT in two dimensions
• Microstates at the boundary of AdS
• Gauge/gravity duality with a chiral N=(0,8) string defect
• Fundamental Strings, Holography, and Nonlinear Superconformal Algebras
• A First Course on Twistors, Integrability and Gluon Scattering Amplitudes
• Supercharged AdS${}_3$ Holography
• Un-twisting the NHEK with spectral flows
• AdS${}_3$ holography for non-BPS geometries
• Near-Extremal Vanishing Horizon AdS5 Black Holes and Their CFT Duals
• Helical Luttinger Liquids and Three Dimensional Black Holes
• Four-dimensional black hole entropy from F-theory
• One-loop N=8 Supergravity Amplitudes from MHV Diagrams
• Quantum Black Hole Entropy, Localization and the Stringy Exclusion Principle
• Quantum entropy of supersymmetric black holes