Exceptional field theory. III. E8(8)
Exceptional field theory. III. E8(8)
复制标题
DOI：
10.1103/physrevd.90.066002
复制
发表时间：
2014-09-04
影响因子：
5
通讯作者：
Samtleben, Henning
中科院分区：
文献类型：
--
作者：
Hohm, Olaf;Samtleben, Henning
我们发展了E-8（8）的例外场论，它定义在（3 + 248）维广义时空上，在E-8（8）的伴随表示中具有扩展坐标。这些域在E-8（8）广义同态下变换，并服从协变截面约束。玻色子场包括一个“内部”的dreibein和一个E-8（8）值的“zweihundertachtundvierzigbein”（248-bein）。最重要的是，该理论还具有规范向量的E-8（8）E括号控制广义的非同态代数和协变约束规范向量的一个单独的，但受约束的E-8（8）规范对称。完整的玻色子理论，与一个新的Chern-Simons项的规范矢量，是唯一确定的规范不变性下的内部和外部的广义超同态。该理论始终包括编码在248-bein中的对偶引力子的分量。在选择了约束的特殊解后，理论简化为D = 11或IIB型超引力，此时对偶引力子变成纯规范。这就解决了对偶引力子的问题，我们将详细讨论。
We develop exceptional field theory for E-8(8), defined on a (3 + 248)-dimensional generalized spacetime with extended coordinates in the adjoint representation of E-8(8). The fields transform under E-8(8) generalized diffeomorphisms and are subject to covariant section constraints. The bosonic fields include an "internal" dreibein and an E-8(8)-valued "zweihundertachtundvierzigbein" (248-bein). Crucially, the theory also features gauge vectors for the E-8(8) E bracket governing the generalized diffeomorphism algebra and covariantly constrained gauge vectors for a separate but constrained E-8(8) gauge symmetry. The complete bosonic theory, with a novel Chern-Simons term for the gauge vectors, is uniquely determined by gauge invariance under internal and external generalized diffeomorphisms. The theory consistently comprises components of the dual graviton encoded in the 248-bein. Upon picking particular solutions of the constraints the theory reduces to D = 11 or type IIB supergravity, for which the dual graviton becomes pure gauge. This resolves the dual graviton problem, as we discuss in detail.