PIRSA:24120031

Extending phase spaces at null infinity with the Stueckelberg's trick

Peraza, J. (2024). Extending phase spaces at null infinity with the Stueckelberg's trick. Perimeter Institute. https://pirsa.org/24120031

Peraza, Javier. Extending phase spaces at null infinity with the Stueckelberg's trick. Perimeter Institute, Dec. 10, 2024, https://pirsa.org/24120031 

          @misc{ pirsa_PIRSA:24120031,
            doi = {10.48660/24120031},
            url = {https://pirsa.org/24120031},
            author = {Peraza, Javier},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Extending phase spaces at null infinity with the Stueckelberg{\textquoteright}s trick},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {dec},
            note = {PIRSA:24120031 see, \url{https://pirsa.org}}
          }

Javier Peraza

Universidad de la Republica Uruguay

Talk number
PIRSA:24120031
Collection
Talk Type
Subject
Abstract

The study of symmetries at null infinity and their connection with soft theorems via Ward identities has been the subject of intense research over the past decade. The organization of the symmetries in a clear - geometric - structure that reflects the subleading infrared effects has led to numerous interesting results, in particular the emergence of the Lw_{1+\infty} algebra of symmetries for gravity. In this talk I will review recent results on an adaptation of Stueckelberg's procedure to extend phase spaces at null infinity, by which gauge symmetry generators are promoted to dynamical degrees of freedom, containing the so-called edge modes. This formalization allows us to obtain charges corresponding to the subleading soft theorems at all orders, and to construct a hierarchy of closed subalgebras that satisfy simple recursion relations. I will show the example of this construction in Yang-Mills theory, and comment on the charge algebra obtained. Finally, I will discuss the application of this construction to gravity, as well as some preliminary results and future directions.