PIRSA:23050000

BMS Field Theories with u(1) Symmetry

Riegler, M. (2023). BMS Field Theories with u(1) Symmetry. Perimeter Institute. https://pirsa.org/23050000

Riegler, Max. BMS Field Theories with u(1) Symmetry. Perimeter Institute, May. 18, 2023, https://pirsa.org/23050000 

          @misc{ pirsa_PIRSA:23050000,
            doi = {10.48660/23050000},
            url = {https://pirsa.org/23050000},
            author = {Riegler, Max},
            keywords = {Quantum Gravity},
            language = {en},
            title = {BMS Field Theories with u(1) Symmetry},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {may},
            note = {PIRSA:23050000 see, \url{https://pirsa.org}}
          }

Max Riegler Technische Universität Wien

DOI 10.48660/23050000
Collection
Talk Type Scientific Series
Subject

Abstract

Quantum field theories in two dimensions (2d) with an underlying Bondi-van der Burg-Metzner-Sachs (BMS) symmetry augmented by u(1) currents are expected to holographically capture features of charged versions of cosmological solutions in asymptotically flat 3d spacetimes called Flat Space Cosmologies (FSCs). I will present a study of the modular properties of these field theories and the corresponding partition function. Furthermore, I will derive the density of (primary) states and find the entropy and asymptotic values of the structure constants exploiting the modular properties of the partition function and the torus one-point function. The expression for the asymptotic structure constants shows shifts in the weights and one of the central terms and an extra phase compared to earlier results in the literature for BMS invariant theories without u(1) currents present. The field theory results for the structure constants can be reproduced holographically by a bulk computation involving a scalar probe in the background of a charged FSC.

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