E11, generalised space-time and equations of motion in four dimensions

被引:12
|
作者
West, Peter [1 ]
机构
[1] Kings Coll London, Dept Math, London WC2R 2LS, England
来源
关键词
M-Theory; String Duality; Extended Supersymmetry; DUALITY ROTATIONS; SUPERGRAVITY; SYMMETRIES; IIB;
D O I
10.1007/JHEP12(2012)068
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We construct the non-linear realisation of the semi-direct product of E-11 and its first fundamental representation at low levels in four dimensions. We include the fields for gravity, the scalars and the gauge fields as well as the duals of these fields. The generalised space-time, upon which the fields depend, consists of the usual coordinates of four dimensional space-time and Lorentz scalar coordinates which belong to the 56-dimensional representation of E-7. We demand that the equations of motion are first order in derivatives of the generalised space-time and then show that they are essentially uniquely determined by the properties of the E-11 Kac-Moody algebra and its first fundamental representation. The two lowest equations correctly describe the equations of motion of the scalars and the gauge fields once one takes the fields to depend only on the usual four dimensional space-time.
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页数:38
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