近日，日本北里大学的Shin Sasaki及其研究团队取得一项新进展。经过不懈努力，他们揭示规范双场理论中代数群的扩展双重结构。相关研究成果2024年6月14日出版的国际学术期刊《高能物理杂志》上发表。

该研究团队深入探讨了与O(D, D + n)规范双场论(DFT)密切相关的代数结构，特别是Drinfel双场的类比。他们成功证明了在规范DFT中，通过扭曲C括号定义的代数群实际上是由三个（扭曲）李代数群的直接和所构成的。这一发现揭示了这些代数群所展现出的独特“三重”结构，研究团队称之为扩展双重结构，这一结构不同于（未测量的）DFT中的传统“双重”结构。

研究人员发现扩展双重结构的相容性不仅在测量DFT中产生了强约束，而且还产生了附加条件。他们在(2D + n)维乘积流形中构建了这些结构的几何实现，并研究了它们与DFT中异质弦理论以及非阿贝尔规范对称的广义几何之间的关系。

附：英文原文

Title: Extended doubled structures of algebroids for gauged double field theory

Author: Mori, Haruka, Sasaki, Shin

Issue&Volume: 2024-06-14

Abstract: We study an analogue of the Drinfel’d double for algebroids associated with the O(D, D + n) gauged double field theory (DFT). We show that algebroids defined by the twisted C-bracket in the gauged DFT are built out of a direct sum of three (twisted) Lie algebroids. They exhibit a “tripled”, which we call the extended double, rather than the “doubled” structure appearing in (ungauged) DFT. We find that the compatibilities of the extended doubled structure result not only in the strong constraint but also the additional condition in the gauged DFT. We establish a geometrical implementation of these structures in a (2D + n)-dimensional product manifold and examine the relations to the generalized geometry for heterotic string theories and non-Abelian gauge symmetries in DFT.

DOI: 10.1007/JHEP06(2024)096

Source: https://link.springer.com/article/10.1007/JHEP06(2024)096