The E11 origin of all maximal supergravities. The hierarchy of field-strengths
The E11 origin of all maximal supergravities. The hierarchy of field-strengths
复制标题
所有最大超重力的 E11 起源。
DOI：
10.1088/1126-6708/2009/09/095
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发表时间：
2009
影响因子：
5.4
通讯作者：
P. West
中科院分区：
文献类型：
--
作者：
F. Riccioni;Duncan Steele;P. West
从E11和时空平移开始，我们构建了一个代数，将E11的全局对称性提升到局部对称性，并考虑其所有可能的大规模变形。雅可比恒等式表明这样的变形是由一个张量唯一地决定的，这个张量属于与E11指定的D−1形式相同的内部对称群的表示。变形代数的非线性实现给出了理论的场强，即任何可能测量的最大超引力理论在任何维度上的场强。所有可能的变形代数都与所有可能的大质量最大超引力理论一一对应。E11公式中固有的域层次在推导中起着重要的作用。决定变形的张量可以与先前用于参数化测量超重力的嵌入张量相识别。因此，我们提供了一个非常有效、简单和统一的E11中所有最大测量超重力的所有场强和规范变换的推导。动力学是这些场强之间的一阶对偶关系的集合。
Starting from E11 and the space-time translations we construct an algebra that promotes the global E11 symmetries to local ones, and consider all its possible massive deformations. The Jacobi identities imply that such deformations are uniquely determined by a single tensor that belongs to the same representation of the internal symmetry group as the D−1 forms specified by E11. The non-linear realisation of the deformed algebra gives the field strengths of the theory which are those of any possible gauged maximal supergravity theory in any dimension. All the possible deformed algebras are in one to one correspondence with all the possible massive maximal supergravity theories. The hierarchy of fields inherent in the E11 formulation plays an important role in the derivation. The tensor that determines the deformation can be identified with the embedding tensor used previously to parameterise gauged supergravities. Thus we provide a very efficient, simple and unified derivation of all the field strengths and gauge transformations of all maximal gauged supergravities from E11. The dynamics arises as a set of first order duality relations among these field strengths.