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PIRSA:22100112

Local supersymmetry as square roots of supertranslations: A Hamiltonian study

APA

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

Sucheta Majumdar École Normale Supérieure de Lyon (ENS Lyon)

Talk numberPIRSA:22100112
Source RepositoryPIRSA
Collection

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