Comments on supercurrent multiplets, supersymmetric field theories and supergravity
Comments on supercurrent multiplets, supersymmetric field theories and supergravity
复制标题
DOI：
10.1007/jhep07(2010)017
复制
发表时间：
2010-02
影响因子：
5.4
通讯作者：
Z. Komargodski;N. Seiberg
中科院分区：
文献类型：
--
作者：
Z. Komargodski;N. Seiberg
我们分析了包含超流和能量动量张量的各种超对称多重态。最广为人知的多重峰是费拉拉-祖米诺 (FZ) 多重峰，但并不总是有明确的定义。一旦存在 Fayet-Iliopoulos (FI) 项或目标空间的 Kähler 形式不精确时，就会发生这种情况。我们提出了一个始终存在的新多重态。对超对称电流的这种理解使我们能够获得关于超对称理论可能的红外行为的新结果。接下来，我们讨论刚性超对称理论与超引力的耦合。当理论具有 FZ 多重态或具有全局 R 对称性时，可以使用标准形式主义。但如果情况并非如此，那么这种简单的测量是不可能的。然后，我们必须测量电流。由此产生的理论除了引力子和引力子之外，还有另一个无质量手性超场 Φ，这对于理论的一致性至关重要。各种弦模型的一些模量起着 Φ 的作用。我们基于超重力一致性的一般考虑表明，这种模量不能轻易提升，从而导致对重力/弦模型的限制。
We analyze various supersymmetry multiplets containing the supercurrent and the energy-momentum tensor. The most widely known such multiplet, the Ferrara-Zumino (FZ) multiplet, is not always well-defined. This can happen once Fayet-Iliopoulos (FI) terms are present or when the Kähler form of the target space is not exact. We present a new multipletwhich always exists. This understanding of the supersymmetry current allows us to obtain new results about the possible IR behavior of supersymmetric theories. Next, we discuss the coupling of rigid supersymmetric theories to supergravity. When the theory has an FZ-multiplet or it has a global R-symmetry the standard formalism can be used. But when this is not the case such simple gauging is impossible. Then, we must gauge the current. The resulting theory has, in addition to the graviton and the gravitino, another massless chiral superfield Φ which is essential for the consistency of the theory. Some of the moduli of various string models play the role of Φ. Our general considerations, which are based on the consistency of supergravity, show that such moduli cannot be easily lifted thus leading to constraints on gravity/string models.