The gauge structure of exceptional field theories and the tensor hierarchy
The gauge structure of exceptional field theories and the tensor hierarchy
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异常场论的规范结构和张量层次
DOI：
10.1007/jhep04(2014)049
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发表时间：
2013
影响因子：
5.4
通讯作者：
J. A. Rosabal
中科院分区：
文献类型：
--
作者：
G. Aldazabal;M. Graña;Diego Marqu'es;J. A. Rosabal
本文讨论了显U-对偶不变广义同态的构造。代数的封闭性要求切空间的扩展，以包括一个张量层次，表明存在一个潜在的统一结构，与E11和Borcherds代数结构兼容。我们开始与四维规范最大超引力，并建立一个广义李导数编码的所有规范变换的理论。一个广义框架的介绍，它容纳所有的自由度，包括张量层次。广义李导数定义了包含理论中所有协变量的广义场相关通量，闭合条件给出了它们相应的比安奇恒等式.然后，我们走向一个完整的广义李导数定义在扩展空间的建设，分析封闭条件，并探讨通过广义Scherk-Schwarz约化与最大规范超引力的连接，并与11维超引力。
A bstractWe address the construction of manifest U-duality invariant generalized diffeomorphisms. The closure of the algebra requires an extension of the tangent space to include a tensor hierarchy indicating the existence of an underlying unifying structure, compatible with E11 and Borcherds algebras constructions. We begin with four-dimensional gauged maximal supergravity, and build a generalized Lie derivative that encodes all the gauge transformations of the theory. A generalized frame is introduced, which accommodates for all the degrees of freedom, including the tensor hierarchy. The generalized Lie derivative defines generalized field-dependent fluxes containing all the covariant quantities in the theory, and the closure conditions give rise to their corresponding Bianchi Identities. We then move towards the construction of a full generalized Lie derivative defined on an extended space, analyze the closure conditions, and explore the connection with that of maximal gauged supergravity via a generalized Scherk-Schwarz reduction, and with 11-dimensional supergravity.
影响因子：
5.4
作者：
D. Berman;M. Perry
通讯作者：
D. Berman;M. Perry