11维超引力场的引力子紧化消除宇宙学常数
Vanishing Cosmological Constant by Gravitino-Dressed Compactification of 11D Supergravity
摘要：
我们考虑由十一维超引力场引起的紧化。这样的紧化并不是微不足道的，因为引力子剖面与纯玻色子剖面并不通过超对称变换联系起来。这类背景的基本性质是尽管黎曼张量为零，但仍允许$ψ$ -挠。因此，这些背景也可以被认为是超引力的遥平行公式的解。我们构造了两类解，一类是同时具有反对称三形式场、引力和引力子的解，另一类是只具有引力和引力子的解。在这些类的解中，内部空间是一个平行化的紧致流形，因此它不会继承外部时空的任何宇宙学常数。后者原来是平坦的闵可夫斯基在最大对称的情况下。自发紧化超引力中宇宙学常数的消除似乎是一种基于平行化挠率交换宇宙学常数的一般性质。
英文摘要：
We consider compactifications induced by the gravitino field of eleven dimensional supergravity. Such compactifications are not trivial in the sense that the gravitino profiles are not related to pure bosonic ones by means of a supersymmetry transformation. The basic property of such backgrounds is that they admit $ψ$-torsion although they have vanishing Riemann tensor. Thus, these backgrounds may be considered also as solutions of the teleparallel formulation of supergravity. We construct two classes of solutions, one with both antisymmetric three-form field, gravity and gravitino and one with only gravity and gravitino. In these classes of solutions, the internal space is a parallelized compact manifold, so that it does not inherit any cosmological constant to the external spacetime. The latter turns out to be flat Minkowski in the maximally symmetric case. The elimination of the cosmological constant in the spontaneously compactified supergravity seems to be a generic property based on the trading of the cosmological constant for parallelizing torsion.
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