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PreprintCC BY 4.0arXiv

Carrollian bosonic supergravity at order α' and the universal cancellation of higher-curvature divergences

Abstract

We prove that the Carrollian limit of bosonic supergravity remains finite after including the four-derivative terms arising from the α'-corrections, and we explicitly construct the effective action. We also establish a universal criterion to determine the finiteness of higher-curvature contributions given by powers of the Riemann tensor, Riem1 ⋯ RiemN, with N>1. As applications of this criterion, we prove that the purely gravitational α'2- and α'3-corrections admit a finite Carrollian limit, derive their explicit contributions to the action, and show that the terms proportional to ζ(3) do not contribute to the Carrollian bosonic supergravity at order α'3.

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BibTeX
@misc{lescano2026carrollian,
  title = {{Carrollian bosonic supergravity at order $α'$ and the universal cancellation of higher-curvature divergences}},
  author = {Eric Lescano},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.24916},
  eprint = {2607.24916},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.24916},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Carrollian bosonic supergravity at order α' and the universal cancellation of higher-curvature divergences
AU  - Eric Lescano
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2607.24916
UR  - https://arxiv.org/abs/2607.24916
AB  - We prove that the Carrollian limit of bosonic supergravity remains finite after including the four-derivative terms arising from the α'-corrections, and we explicitly construct the effective action. We also establish a universal criterion to determine the finiteness of higher-curvature contributions given by powers of the Riemann tensor, Riem_1 ⋯ Riem_N, with N>1. As applications of this criterion, we prove that the purely gravitational α'^2- and α'^3-corrections admit a finite Carrollian limit, derive their explicit contributions to the action, and show that the terms proportional to ζ(3) do not contribute to the Carrollian bosonic supergravity at order α'^3.
ER  -