Imaginary supergravity or Virial supergravity
Imaginary supergravity or Virial supergravity
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想象的超引力或维里超引力
DOI：
10.1016/j.nuclphysb.2015.01.012
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Y. Nakayama
中科院分区：
文献类型：
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作者：
Y. Nakayama
当全局超对称理论具有尺度不变性时，它必须具有维里超流超多重态。多重态结构类似于全局 R 对称理论中的 R 电流超多重态，但我们在各种公式中添加了额外的“i”。我们通过测量 d= 1+ 3 维度的维里超流超多重态构建了一种新型超引力。我们借助协变线性酉超共形补偿器给出完整的非线性超空间作用。由此产生的超引力是奇特的：（1）没有物质，就不允许出现类似爱因斯坦的二阶动力学项，（2）存在动力学非几何联系，（3）度量在韦斯-祖米诺规范中是幺模的，只能与尺度不变物质耦合。通过超共形方法研究了物质耦合和高阶导数动力学项的示例。我们的工作完成了 d= 1+ 3 维度中不可约 N= 1 超引力的分类。
When a globally supersymmetric theory is scale invariant, it must possess a Virial supercurrent supermultiplet. The multiplet structure is analogous to the R-current supermultiplet in globally R-symmetric theories but we put extra “i” s in various formulae. We construct a novel type of supergravity from gauging the Virial supercurrent supermultiplet in d= 1+ 3 dimensions. We give the full non-linear superspace action with the help of a covariantly linear unitary superconformal compensator. The resulting supergravity is peculiar:(1) no Einstein-like second order kinetic term is allowed without matter,(2) there exists a dynamical non-geometrical connection,(3) the metric is unimodular in the Wess–Zumino gauge and can be coupled only to scale invariant matter. Examples of matter couplings and higher derivative kinetic terms are studied from the superconformal approach. Our work completes the classification of the irreducible N= 1 supergravities in d= 1+ 3 dimensions.