On the Geometry of Null Space-times


Leigh, R. (2019). On the Geometry of Null Space-times. Perimeter Institute. https://pirsa.org/19030104


Leigh, Rob. On the Geometry of Null Space-times. Perimeter Institute, Mar. 05, 2019, https://pirsa.org/19030104


          @misc{ pirsa_19030104,
            doi = {},
            url = {https://pirsa.org/19030104},
            author = {Leigh, Rob},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {On the Geometry of Null Space-times},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {mar},
            note = {PIRSA:19030104 see, \url{https://pirsa.org}}


It is known that there is a relationship between conformal Carroll transformations and BMS symmetry. In this talk I will explore the geometry of generic Carroll structures which may be thought of as the basic underlying geometric structure on null hypersurfaces. A Carroll structure can be thought of as a fibre bundle with Ehresmann connection, and one finds that (generalized) BMS symmetry emerges as the conformal symmetry of this bundle and connection. I’ll briefly also describe how this story fits into the physics of ’soft modes.’