AdS M-理论背景下的约束超流形
Constrained Supermanifolds for AdS M-Theory Backgrounds
摘要：
AdS_4 x（G/H）_7或AdS_5 x（G/H）_5背景的超规范完备性是一个长期存在的问题，它保持了小于极大的超对称性。与基于卡帕对称性的AdS_4 x S^7背景的超可解实现并行，我们开发了一种技术，它相当于以一种对超膜和超弦的纯旋量量子化有用的方式解决上述问题。我们没有将某些超空间坐标规范固定为零，而是对它们施加了一个额外的约束，从而再现了超可解表示的简化。约束是二次的，齐次的，Sp（4，R）-协变的，并从量子的角度来看，在纯旋量的方法是一致的。在这里，我们提供的几何解决方案，在随后的工作中，将适用于膜和超弦西格玛模型。
英文摘要：
A long standing problem is the supergauge completion of AdS_4 x (G/H)_7 or AdS_5 x (G/H)_5 backgrounds which preserve less then maximal supersymmetry. In parallel with the supersolvable realization of the AdS_4 x S^7 background based on Kappa-symmetry, we develop a technique which amounts to solving the above-mentioned problem in a way useful for pure spinor quantization for supermembranes and superstrings. Instead of gauge fixing some of the superspace coordinates to zero, we impose an additional constraint on them reproducing the simplifications of the supersolvable representations. The constraints are quadratic, homogeneous, Sp(4,R)-covariant, and consistent from the quantum point of view in the pure spinor approach. Here we provide the geometrical solution which, in a subsequent work, will be applied to the membrane and the superstring sigma models.
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