BMS field theories with u (1) symmetry

Autor(en)

Arjun Bagchi, Ritankar Chatterjee, Rishabh Kaushik, Sanchari Pal, Max Riegler, Debmalya Sarkar

Abstrakt

We investigate quantum field theories in two dimensions (2D) with an underlying Bondi-van der Burgh-Metzner-Sachs symmetry augmented by u(1) currents. These field theories are expected to holographically capture features of charged versions of cosmological solutions in asymptotically flat 3D spacetimes called flat space cosmologies. We conduct a study of the modular properties of these field theories. The characters for the highest weight representations of the symmetry algebra are constructed, and the partition function of the theory is obtained from them. We 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 the earlier results in the literature for Bondi-van der Burgh-Metzner-Sachs invariant theories without u(1) currents present. We reproduce our field results for the structure constants by a bulk computation involving a scalar probe in the background of a charged flat space cosmology.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Indian Institute of Technology Kanpur, Institut Polytechnique de Paris, Tata Institute of Fundamental Research, Universität Wien

Journal

Physical Review D

Band

107

Anzahl der Seiten

34

ISSN

2470-0010

DOI

https://doi.org/10.1103/PhysRevD.107.106019

Publikationsdatum

05-2023

Peer-reviewed

Ja

ÖFOS 2012

103019 Mathematische Physik, 103024 Quantenfeldtheorie

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/88453b07-7aab-45c9-9f83-a5cd6d5fbab1