Consistent Kaluza-Klein truncations via exceptional field theory
Consistent Kaluza-Klein truncations via exceptional field theory
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DOI：
10.1007/jhep01(2015)131
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发表时间：
2014-10
影响因子：
5.4
通讯作者：
O. Hohm;H. Samtleben
中科院分区：
文献类型：
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作者：
O. Hohm;H. Samtleben
利用群值扭矩阵的一致性方程给出了全超对称例外场论的广义Scherk-Schwarz约化方法。通过这种分析，场方程精确地简化为由嵌入张量参数化的低维规范超引力场方程。我们显式构造了一族扭转矩阵作为一致性方程的解。它们诱导出规范群SO（p，q）和CSO（p，q，r）的规范超引力。几何上，他们描述紧化的内部空间的领域和（翘曲）hyperboloides H p，q，从而扩大适用性的广义Scherk-Schwarz减少超越齐性空间。再加上分别将例外场论与D= 11和IIB超引力联系起来的字典，这个结构定义了一个全新的原始理论的相容截断族。这不仅包括不同维度的球面上的紧化（如AdS 5× S 5），也包括各种双曲面紧化，这些紧化导致超引力与非紧和非半单规范群的高维嵌入。
We present the generalized Scherk-Schwarz reduction ansatz for the full supersymmetric exceptional field theory in terms of group valued twist matrices subject to consistency equations. With this ansatz the field equations precisely reduce to those of lower-dimensional gauged supergravity parametrized by an embedding tensor. We explicitly construct a family of twist matrices as solutions of the consistency equations. They induce gauged supergravities with gauge groups SO (p, q) and CSO (p, q, r). Geometrically, they describe compactifications on internal spaces given by spheres and (warped) hyperboloides H p, q, thus extending the applicability of generalized Scherk-Schwarz reductions beyond homogeneous spaces. Together with the dictionary that relates exceptional field theory to D= 11 and IIB supergravity, respectively, the construction defines an entire new family of consistent truncations of the original theories. These include not only compactifications on spheres of different dimensions (such as AdS 5× S 5), but also various hyperboloid compactifications giving rise to a higher-dimensional embedding of supergravities with non-compact and non-semisimple gauge groups.