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 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.
%0 Journal Article
%1 Hansen2006Generating
%A Hansen, James
%A Kraus, Per
%D 2006
%K ads3-cft2, grav\_charges
%T Generating Charge from Diffeomorphisms
%U http://arxiv.org/abs/hep-th/0606230
%X 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 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.
@article{Hansen2006Generating,
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.}},
added-at = {2019-02-26T10:37:35.000+0100},
archiveprefix = {arXiv},
author = {Hansen, James and Kraus, Per},
biburl = {https://www.bibsonomy.org/bibtex/252c007033866db4a8a06ae0d3688dffe/acastro},
citeulike-article-id = {7531867},
citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0606230},
citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0606230},
day = 18,
eprint = {hep-th/0606230},
interhash = {df600deba1386ca053bfb30acbfb30cf},
intrahash = {52c007033866db4a8a06ae0d3688dffe},
keywords = {ads3-cft2, grav\_charges},
month = sep,
posted-at = {2010-07-23 03:10:20},
priority = {2},
timestamp = {2019-02-26T10:37:35.000+0100},
title = {{Generating Charge from Diffeomorphisms}},
url = {http://arxiv.org/abs/hep-th/0606230},
year = 2006
}