近日，俄罗斯库尔恰托夫研究所Yu. M. Zinoviev团队研究了部分无质量自旋2和超对称性。这一研究成果发表在2025年4月1日出版的《高能物理杂志》上。

部分无质量自旋2超多重谱的存在告诉人们，部分无质量自转2有两个自然的超伙伴：无质量自旋3/2和具有特定质量值的大质量自旋3/2。对于任何由全局超变换连接的场对，都有两个天然的问题：自相互作用的存在以及通过切换它们与无质量自旋3/2引力子的相互作用使超变换成为局部的可能性。

首先，研究组考虑部分无质量自旋2和大质量自旋3/2的自相互作用，这可以被认为是部分无质量超引力的第一近似，并提供了一个类似于通常超引力的最小（即不超过一个导数）顶点的直接构造。然后考虑全局超对称性的局部化，它将部分无质量自旋2与其两个可能的超伙伴——无质量自旋3/2和具有特殊质量值的质量——连接起来。

对于第一种情况，研究组还设法构造了一个没有超过一个导数的最小顶点。同样，这个顶点可以被视为所谓的部分无质量N=2超引力的一部分。对于第二种情况，相应的顶点确实存在，但它具有更高的导数项。

附：英文原文

Title: Partially massless spin 2 and supersymmetry

Author: Zinoviev, Yu. M.

Issue&Volume: 2025-04-01

Abstract: The very existence of partially massless spin 2 supermultiplet tell us that partially massless spin 2 has two natural super-partners: massless spin 3/2 and massive spin 3/2 with some special value of mass. As for any pair of fields connected by global supertransformations there are two natural questions: existence of the self-interaction and possibility to make supertransformations to be local by switching their interaction with massless spin 3/2 gravitino. At first, we consider a self-interaction for the partially massless spin 2 and massive spin 3/2 which may be considered as the first approximation to partially massless supergravity and provide a direct construction of the minimal (i.e. having no more than one derivative) vertex which resembles usual supergravity. Then we consider localization of global supersymmetry which connects partially massless spin 2 with its two possible super-partners — massless spin 3/2 and massive with special mass value. For the first case we also managed to construct a minimal vertex having no more that one derivative. Again this vertex can be considered as a part of what can be called partially massless N = 2 supergravity. As for the second case, the corresponding vertex does exist but it has higher derivative terms.

DOI: 10.1007/JHEP04(2025)019

Source: https://link.springer.com/article/10.1007/JHEP04(2025)019