PIRSA:22100112

Local supersymmetry as square roots of supertranslations: A Hamiltonian study

Majumdar, S. (2022). Local supersymmetry as square roots of supertranslations: A Hamiltonian study. Perimeter Institute. https://pirsa.org/22100112

Majumdar, Sucheta. Local supersymmetry as square roots of supertranslations: A Hamiltonian study. Perimeter Institute, Oct. 13, 2022, https://pirsa.org/22100112 

          @misc{ pirsa_PIRSA:22100112,
            doi = {10.48660/22100112},
            url = {https://pirsa.org/22100112},
            author = {Majumdar, Sucheta},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Local supersymmetry as square roots of supertranslations: A Hamiltonian study},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {oct},
            note = {PIRSA:22100112 see, \url{https://pirsa.org}}
          }

Sucheta Majumdar

École Normale Supérieure de Lyon (ENS Lyon)

Talk number
PIRSA:22100112
Collection
Talk Type
Subject
Abstract

In this talk, I will show that supergravity on asymptotically flat spaces possesses a (nonlinear) asymptotic symmetry algebra, containing an infinite number of fermionic generators. Starting from the Hamiltonian action for supergravity with suitable boundary conditions on the graviton and gravitino fields, I will derive a graded extension of the BMS_4 algebra at spatial infinity, denoted by SBMS_4. These boundary conditions are not only invariant under the SBMS_4 algebra, but lead to a fully consistent canonical description of the supersymmetries, which have well-defined Hamiltonian generators. One finds, in particular, that the graded brackets between the fermionic generators yield BMS supertranslations, of which they provide therefore “square roots”.  I will comment on some key aspects of extending the asymptotic analysis at spatial infinity to fermions and on the structure of the SBMS_4 algebra in terms of Lorentz representations.

Zoom link: https://pitp.zoom.us/j/95951230095?pwd=eHIwUXB5SUkvd0IvZnVUN3JJMFE1QT09