论文标题
$ ads_4 \ times s^7 $ vers $ ads_7 \ times s^4 $的11D超级股票
11D Supergravity on $AdS_4 \times S^7$ versus $AdS_7 \times S^4$
论文作者
论文摘要
最大的超对称性弗朗德·罗宾真空真空吸尘器，即$ ads_4 \ times s^7 $和$ ads_7 \ times s^4 $，承认分析持续到$ s^4 \ times s^7 $。从$ s^4 \ times s^7 $的完整谐波扩展中，可以证明，通过分析延续到$ ads_4 $或$ ads_7 $，可以以统一的方式获得Kaluza-Klein Spectrum的详细结构。结果显示，通过一个简单的规则相关，该规则可以互换时空和内部空间表示。我们还获得了单胎和doubletons的线性化场方程，但是可以通过固定从kaluza-klein还原继承的某些stuckelberg shift对称性来估算它们。
The maximally supersymmetric Freund-Rubin vacua for eleven dimensional supergravity, namely $AdS_4 \times S^7$ and $AdS_7 \times S^4$, admit an analytic continuation to $S^4 \times S^7$. From the full harmonic expansions on $S^4 \times S^7$, it is shown that by analytical continuation to either $AdS_4$, or to $AdS_7$, the detailed structure of the Kaluza-Klein spectrum can be obtained for both vacua in a unified manner. The results are shown to be related by a simple rule which interchanges the spacetime and internal space representations. We also obtain the linearized field equations for the singletons and doubletons but they can be gauged away by fixing certain Stuckelberg shift symmetries inherited from the Kaluza-Klein reduction.
