Light-Ray Supersymmetry, BMS Algebras and the Averaged Null Energy Condition
Abstract
We show that the light-ray algebra of unitary supersymmetric Lorentzian conformal field theories contains a universal supersymmetric generalized bms algebra. We construct parallel light-ray operators using the supersymmetry current, R−symmetry current and the stress tensor supported on a co-dimension one null hypersurface and determine their graded commutators in d=3,4 to verify this claim. Our construction only relies on global supersymmetry and fundamental physical principles such as microcausality, unitarity and Lorentz invariance and thus applies to strongly coupled theories. As a corollary, we show that the averaged null energy operator is a positive operator using the local supersymmetry algebra on the null sheet, providing a supersymmetric derivation of the averaged null energy condition (ANEC). Finally, we verify our results in free massless supersymmetric theories and present arguments to support that the local supersymmetry continues to ensure the ANEC is satisfied even in general supersymmetric quantum field theories.
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BibTeX
@misc{k2026lightray,
title = {{Light-Ray Supersymmetry, BMS Algebras and the Averaged Null Energy Condition}},
author = {Dhruva K. S},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.39691},
eprint = {2609.39691},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.39691},
note = {CC0},
}
RIS
TY - UNPB
TI - Light-Ray Supersymmetry, BMS Algebras and the Averaged Null Energy Condition
AU - Dhruva K. S
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.39691
UR - https://arxiv.org/abs/2609.39691
AB - We show that the light-ray algebra of unitary supersymmetric Lorentzian conformal field theories contains a universal supersymmetric generalized bms algebra. We construct parallel light-ray operators using the supersymmetry current, R−symmetry current and the stress tensor supported on a co-dimension one null hypersurface and determine their graded commutators in d=3,4 to verify this claim. Our construction only relies on global supersymmetry and fundamental physical principles such as microcausality, unitarity and Lorentz invariance and thus applies to strongly coupled theories. As a corollary, we show that the averaged null energy operator is a positive operator using the local supersymmetry algebra on the null sheet, providing a supersymmetric derivation of the averaged null energy condition (ANEC). Finally, we verify our results in free massless supersymmetric theories and present arguments to support that the local supersymmetry continues to ensure the ANEC is satisfied even in general supersymmetric quantum field theories.
ER -