PIRSA:26020048

Towards the Quantization of Cylindrically Symmetric Spacetimes

Peraza, J. (2026). Towards the Quantization of Cylindrically Symmetric Spacetimes. Perimeter Institute. https://pirsa.org/26020048

Peraza, Javier. Towards the Quantization of Cylindrically Symmetric Spacetimes. Perimeter Institute, Feb. 19, 2026, https://pirsa.org/26020048 

          @misc{ pirsa_PIRSA:26020048,
            doi = {10.48660/26020048},
            url = {https://pirsa.org/26020048},
            author = {Peraza, Javier},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Towards the Quantization of Cylindrically Symmetric Spacetimes},
            publisher = {Perimeter Institute},
            year = {2026},
            month = {feb},
            note = {PIRSA:26020048 see, \url{https://pirsa.org}}
          }

Javier Peraza Perimeter Institute for Theoretical Physics

Talk numberPIRSA:26020048
DOI10.48660/26020048
Collection
Talk Type Scientific Series
Subject

Abstract

In this talk, we will provide an overview of recent developments in the quantization of Cylindrically symmetric spacetimes, which contain the Einstein-Rosen gravitational waves. This class of solutions leads to an integrable field theory, and its phase space can be expressed directly in terms of initial data living on a null generator. The corresponding Poisson algebra appears in the double null sheet formulation of full 3+1 gravity (Reisenberger, 2007), as essentially a Poisson subalgebra on each null generator. This suggests that the algebraic quantization introduced by Korotkin-Samtleben in the context of cylindrically symmetric gravity is relevant for the search for the full quantum theory. We will present some results concerning this quantum algebra, where two Wick-type algebraic structures emerge. Finally, we will discus the known quantization of the Einstein-Rosen waves with one polarization, due to Ashtekar-Pierri, as a subsector of the general two polarizations case.