The IIA, IIB and eleven-dimensional theories and their common E(11) origin
The IIA, IIB and eleven-dimensional theories and their common E(11) origin
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IIA、IIB和十一维理论及其共同的E(11)起源
DOI：
10.1016/j.nuclphysb.2004.06.004
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
P. West
中科院分区：
文献类型：
--
作者：
P. West
我们证明，通常认为的十一维超引力和十维 II 类理论的半 BPS 解，当用 E11 群元素表示时，采用通用形式 exp (− 1 2 ln Nβ·H) exp ((1−N)Eβ) 。使用这个公式，我们找到了对应于超出超重力近似的活动场的 E11 非线性实现的新的潜在解决方案。其中包括IIB理论的空间填充九膜。我们使用 E11 给出十一维场与 IIA 和 IIB 非线性实现之间的对应关系，而不假设任何降维。结果，我们找到了大规模 IIA 理论八膜解的十一维起源。
We show that the commonly considered half BPS solutions of eleven-dimensional supergravity and the ten-dimensional type II theories, when expressed in terms of E11group elements, take the universal form exp (− 1 2 ln Nβ·H) exp ((1−N)Eβ) . Using this formula we find new potential solutions to the E11non-linearly realisations corresponding to active fields which are beyond those in the supergravity approximations. These include the space filling nine brane of the IIB theory. We use E11to give a correspondence between the fields of the eleven-dimensional and the IIA and IIB non-linear realisations without assuming any dimensional reduction. As one consequence, we find the eleven-dimensional origin of the eight brane solution of the massive IIA theory.