Carrollian bosonic supergravity at order $\alpha'$ and the universal cancellation of higher-curvature divergences

Eric Lescano

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arXiv · 2607.24916

Carrollian bosonic supergravity at order $\alpha'$ and the universal cancellation of higher-curvature divergences

Eric Lescano

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Abstract

We prove that the Carrollian limit of bosonic supergravity remains finite after including the four-derivative terms arising from the $\alpha'$-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, ${\rm Riem}_1 \cdots {\rm Riem}_N$, with $N>1$. As applications of this criterion, we prove that the purely gravitational $\alpha'^2$- and $\alpha'^3$-corrections admit a finite Carrollian limit, derive their explicit contributions to the action, and show that the terms proportional to $\zeta(3)$ do not contribute to the Carrollian bosonic supergravity at order $\alpha'^3$.

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Eric Lescano. 2026-07-27. Carrollian bosonic supergravity at order $\alpha'$ and the universal cancellation of higher-curvature divergences. https://arxiv.org/abs/2607.24916

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