近日，智利德塔拉帕卡大学的Sebastián Salgado及其研究团队取得一项新进展。经过不懈努力，他们揭示源于超渡场理论的四维拓扑超引力。相关研究成果已于2024年5月22日在国际知名学术期刊《高能物理杂志》上发表。

在这项工作中，研究人员构建了一个四维的Wess-Zumino-Witten模型，该模型是基于N=1庞加莱超群的超场理论不变量经过降维处理得到的。他们认为，超渡作用原理的核心在于两个规范连接，分别由规范组的线性和非线性实现所定义。

所得到的四维理论场内容主要由线性连接的规范场，以及一组在规范超群相同表示下的标量和旋量多重态构成，这些多重态与规范群和五维洛伦兹群之间的陪集空间坐标相对应。接着，研究人员进一步将作用分解为四维量，并推导出相应的运动方程。此外，他们还将这一分析拓展至非相对论和超相对论的状态。

附：英文原文

Title: Four dimensional topological supergravities from transgression field theory

Author: Concha, Patrick, Izaurieta, Fernando, Rodriguez, Evelyn, Salgado, Sebastian

Issue&Volume: 2024-05-22

Abstract: In this work, we propose a four-dimensional gauged Wess-Zumino-Witten model, obtained as a dimensional reduction from a transgression field theory invariant under the N = 1 Poincaré supergroup. For this purpose, we consider that the two gauge connections on which the transgression action principle depends are given by linear and non-linear realizations of the gauge group respectively. The field content of the resulting four-dimensional theory is given by the gauge fields of the linear connection, in addition to a set of scalar and spinor multiplets in the same representation of the gauge supergroup, which in turn, correspond to the coordinates of the coset space between the gauge group and the five-dimensional Lorentz group. We then decompose the action in terms of four-dimensional quantities and derive the corresponding equations of motion. We extend our analysis to the non- and ultra- relativistic regimes.

DOI: 10.1007/JHEP05(2024)248

Source: https://link.springer.com/article/10.1007/JHEP05(2024)248