The U(1) vector multiplet theory with the Fayet–Iliopoulos (FI) term is one of the oldest and simplest models for spontaneously broken rigid supersymmetry. Lifting the FI term to supergravity requires gauged \(R\)-symmetry, as was first demonstrated in 1977 by Freedman within \(\mathcal{N} = 1\) supergravity. There exists an alternative to the standard FI mechanism, which is reviewed in this conference paper. It is obtained by replacing the FI model with a manifestly gauge-invariant action such that its functional form is determined by two arbitrary real functions of a single complex variable. One of these functions generates a superconformal kinetic term for the vector multiplet, while the other yields a generalised FI term. Coupling such a vector multiplet model to supergravity does not require gauging of the \(R\)-symmetry. These generalised FI terms are consistently defined for any off-shell formulation for \(\mathcal{N} = 1\) supergravity, and are compatible with a supersymmetric cosmological term.

中文翻译：

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超重力中的广义Fayet–Iliopoulos术语

具有Fayet–Iliopoulos（FI）项的U（1）矢量多重理论是自发打破刚性超对称性的最古老，最简单的模型之一。将FI术语提升为超重力需要规范的\（R \）-对称性，这是Freedman于1977年首次在\（\ mathcal {N} = 1 \）超重力中进行证明的。本会议论文将对标准FI机制进行替代。它是通过将FI模型替换为明显具有量规不变的行为而获得的，从而使其功能形式由单个复变量的两个任意实函数确定。这些函数之一生成矢量多重态的超保形动力学项，而另一个函数生成广义FI项。将这样的矢量多重模型与超重力耦合，不需要衡量\（R \）-对称性。