We develop a three-dimensional theory of rigid supersymmetry describing the dynamics of a set of hypermultiplets on a curved AdS₃ worldvolume background, whose supersymmetry is captured by the supergroup . To unveil some remarkable features of this model, we perform two twists, involving the SL factors of the theory. After the first twist, our spacetime Lagrangian exhibits a Chern-Simons term associated with an odd one-form field, together with a fermionic “gauge-fixing”, in the spirit of the Rozansky-Witten model. The second twist allows to interpret the setup as a framework capable of describing massive Dirac particles. In particular, this yields a generalisation of the Alvarez-Valenzuela-Zanelli model of “unconventional supersymmetry”. We comment on specific values of the combination , which in our model is related to a sort of gauging in the absence of dynamical gauge fields.

中文翻译：

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扭曲 D(2,1; α) 超空间

我们开发了刚性超对称的三维理论，描述了弯曲的 AdS _{3 世界}体积背景上的一组超多重态的动力学，其超对称性被超群捕获。为了揭示该模型的一些显着特征，我们进行了两次曲折，涉及理论的 SL因素。在第一次扭曲之后，我们的时空拉格朗日函数展示了一个与奇怪的单形式场相关的陈-西蒙斯项，以及费米子“规范固定”，本着 Rozansky-Witten 模型的精神。第二个转折允许解释设置为能够描述大量狄拉克粒子的框架。特别是，这产生了“非常规超对称”的 Alvarez-Valenzuela-Zanelli 模型的概括。我们评论组合 的特定值，在我们的模型中，它与没有动态规范场的一种测量有关。