# A note on dual gravitational charges

### APA

Olivieri, R. (2020). A note on dual gravitational charges. Perimeter Institute. https://pirsa.org/20100061

### MLA

Olivieri, Roberto. A note on dual gravitational charges. Perimeter Institute, Oct. 29, 2020, https://pirsa.org/20100061

### BibTex

@misc{ pirsa_PIRSA:20100061, doi = {10.48660/20100061}, url = {https://pirsa.org/20100061}, author = {Olivieri, Roberto}, keywords = {Quantum Gravity}, language = {en}, title = {A note on dual gravitational charges}, publisher = {Perimeter Institute}, year = {2020}, month = {oct}, note = {PIRSA:20100061 see, \url{https://pirsa.org}} }

Roberto Olivieri Observatoire de Paris

## Abstract

Dual gravitational charges (DGCs) have been originally computed in the first-order formalism by means of covariant phase space methods using tetrad variables. I show i) why DGCs do not arise using the metric variables and ii) how they can be set to zero by exploiting the freedom to add exact 3-forms to the symplectic potential.

Without exploiting that freedom, DGCs can be understood as Hamiltonian charges associated to the Kosmann variation. I then discuss the implications of this observation for asymptotic symmetries and comment about subleading contributions thereof.

Finally, I also show that DGCs can be equally derived by means of cohomological methods. In this case, DGCs depends on the order of the Lagrangian: they exist only in the first-order formalism.