PreprintCC BY 4.0arXiv
Unitary quantum conformal Bondi-Metzner-Sachs field theories
Abstract
We impose unitarity constraints on two-dimensional field theories whose symmetries form the quantum conformal Bondi-Metzner-Sachs algebra, which combines conformal symmetries with asymptotic symmetries of asymptotically flat spacetimes. Positivity constraints put bounds on the central charge, 0<c<2.053. Positivity of the associated vertex algebra allows only four central charges, c = 1, 3/2, 13/7, 2. Thus, only four candidates for unitary field theories remain. We calculate their spectra of primaries and show that they are compatible with BPS-like and holographic inequalities.
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BibTeX
@misc{grumiller2026unitary,
title = {{Unitary quantum conformal Bondi-Metzner-Sachs field theories}},
author = {Daniel Grumiller and Iva Lovrekovic},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.07828},
eprint = {2609.07828},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.07828},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Unitary quantum conformal Bondi-Metzner-Sachs field theories
AU - Daniel Grumiller
AU - Iva Lovrekovic
PY - 2026
DA - 2026/09/07
PB - arXiv
DO - 10.48550/arxiv.2609.07828
UR - https://arxiv.org/abs/2609.07828
AB - We impose unitarity constraints on two-dimensional field theories whose symmetries form the quantum conformal Bondi-Metzner-Sachs algebra, which combines conformal symmetries with asymptotic symmetries of asymptotically flat spacetimes. Positivity constraints put bounds on the central charge, 0<c<2.053. Positivity of the associated vertex algebra allows only four central charges, c = 1, 3/2, 13/7, 2. Thus, only four candidates for unitary field theories remain. We calculate their spectra of primaries and show that they are compatible with BPS-like and holographic inequalities.
ER -