发表机构
Jozef Stefan Institute; Instituto superior tecnico(约瑟夫·斯特凡研究所; 高等技术学院)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
研究玻色子超引力的卡罗尔极限,通过纳入α'修正项证明其保持有限,构建有效作用量。建立通用标准确定高曲率贡献的有限性,应用此标准证明α'²和α'³修正的卡罗尔极限有限并推导其对作用量的贡献。
AI 中文摘要
我们证明,在纳入α'修正产生的四阶导数项后,玻色子超引力的卡罗尔极限保持有限,并明确构建了有效作用量。我们还建立了一个通用标准,以确定由黎曼张量幂次Riem₁⋯Riemₙ(n>1)给出的高曲率贡献的有限性。作为该标准的应用,我们证明了纯引力α'²和α'³修正具有有限的卡罗尔极限,推导了它们对作用量的明确贡献,并表明与ζ(3)成比例的项在α'³阶对卡罗尔型玻色子超引力无贡献。
英文摘要
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, ${\rm Riem}_1 \cdots {\rm Riem}_N$, 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 $α'^3$.
CommentsV1: 5 pages + references + appendix. V2: typos fixed