The maximal D = 4 supergravities
The maximal D = 4 supergravities
复制标题
最大 D = 4 个超重力
DOI：
10.1088/1126-6708/2007/06/049
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发表时间：
2007
影响因子：
5.4
通讯作者：
M. Trigiante
中科院分区：
文献类型：
--
作者：
B. Wit;H. Samtleben;M. Trigiante
所有最大的超引力在四个时空维度。无规范拉格朗日量可以编码在E_7（7）\Sp（56，R）/GL（28）矩阵中，该矩阵与执行电/磁对偶变换的自由度相关联。规范是根据嵌入张量来定义的，嵌入张量编码E_7（7）的子群，该子群被实现为局部不变性。这个嵌入张量可能意味着磁荷的存在，这需要相应的对偶规范场。后者可以通过使用最近提出的涉及E_7（7）伴随表示中的张量规范场的公式来合并。在这个公式中，结果采取一个普遍的形式，而不管电/磁的对偶性基础。我们提出了一般类的超对称和规范不变的拉格朗日量，并讨论了一些应用。
All maximal supergravities in four space-time dimensions are presented. The ungauged Lagrangians can be encoded in an E_7(7)\Sp(56,R)/GL(28) matrix associated with the freedom of performing electric/magnetic duality transformations. The gauging is defined in terms of an embedding tensor which encodes the subgroup of E_7(7) that is realized as a local invariance. This embedding tensor may imply the presence of magnetic charges which require corresponding dual gauge fields. The latter can be incorporated by using a recently proposed formulation that involves tensor gauge fields in the adjoint representation of E_7(7). In this formulation the results take a universal form irrespective of the electric/magnetic duality basis. We present the general class of supersymmetric and gauge invariant Lagrangians and discuss a number of applications.