PIRSA:19030104

On the Geometry of Null Space-times

APA

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

MLA

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

BibTex

          @misc{ pirsa_PIRSA:19030104,
            doi = {10.48660/19030104},
            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}}
          }
          

Rob Leigh University of Illinois Urbana-Champaign

Abstract

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.’