近日，美国东北大学的Paul-Konstantin Oehlmann及其研究小组取得一项新进展。经过不懈努力，他们对M/F理论中的扭曲纤维化进行研究。相关研究成果已于2024年1月4日在国际知名学术期刊《高能物理杂志》上发表。

在本工作中，该研究团队深入探讨了由M理论推导出的关于纤维中具有扭曲代数的一纤维属三倍态的五维理论。研究人员给出了与基无关的三倍态的代数描述，并计算了在扭曲代数有限子代数下带电的光5D BPS态。此外，他们还构建了与不存在扭曲代数的6维F理论提升相关的雅可比纤维化。这些6/5维理论通过比较F理论与M理论的扭曲圆形约化。

在五维理论的研究中，研究人员探讨了几种连接扭曲和非扭曲纤维的几何转换。他们深入讨论了s₆⁽²⁾ ,so₈⁽³⁾ 和su₃(2)这三种扭曲纤维，并通过环向结构给出了几个明确的三倍态例子。此外，研究人员还考虑了引力解耦的极限情况，并在扭曲T对偶理论中匹配了两群对称的小弦理论。

附：英文原文

Title: Twisted Fibrations in M/F-theory

Author: Anderson, Lara B., Gray, James, Oehlmann, Paul-Konstantin

Issue&Volume: 2024-01-04

Abstract: In this work we investigate 5-dimensional theories obtained from M-theory on genus one fibered threefolds which exhibit twisted algebras in their fibers. We provide a base-independent algebraic description of the threefolds and compute light 5D BPS states charged under finite sub-algebras of the twisted algebras. We further construct the Jacobian fibrations that are associated to 6-dimensional F-theory lifts, where the twisted algebra is absent. These 6/5-dimensional theories are compared via twisted circle reductions of F-theory to M-theory. In the 5-dimensional theories we discuss several geometric transitions that connect twisted with untwisted fibrations. We present detailed discussions of s₆⁽²⁾ ,so₈⁽³⁾ and su₃⁽²⁾ twisted fibers and provide several explicit example threefolds via toric constructions. Finally, limits are considered in which gravity is decoupled, including Little String Theories for which we match 2-group symmetries across twisted T-dual theories.

DOI: 10.1007/JHEP01(2024)017

Source: https://link.springer.com/article/10.1007/JHEP01(2024)017