α对称基环与RNS弦论序列
Ground Ring of Alpha-Symmetries and Sequence of RNS String Theories
摘要：
基于在世界面上发现的新的规范对称性，我们在RNS超弦理论中构造了一个幂零BRST荷序列。这些新的局部规范对称性起源于整体非线性时空$α$对称性，在这项工作中，形成了一个非对易的地面环。这些对称性的重要子代数是$U(3)\times{X_6}$，其中$X_6$是由6个元素组成的可解李代数，它具有令人联想到Virasoro型的扩张子。我们认为，在这项工作中发现的新的BRST收费描述的动力学项在弦场论周围的弯曲背景的$AdS\times{CP}_n$型，由几何形状的隐藏额外的维度引起的全球$α$发电机。然而，这些背景的确定留待正在进行的工作去做。
英文摘要：
We construct a sequence of nilpotent BRST charges in RNS superstring theory, based on new gauge symmetries on the worldsheet, found in this paper. These new local gauge symmetries originate from the global nonlinear space-time $α$-symmetries, shown to form a noncommutative ground ring in this work. The important subalgebra of these symmetries is $U(3)\times{X_6}$, where $X_6$ is solvable Lie algebra consisting of 6 elements with commutators reminiscent of the Virasoro type. We argue that the new BRST charges found in this work describe the kinetic terms in string field theories around curved backgrounds of the $AdS\times{CP}_n$-type, determined by the geometries of hidden extra dimensions induced by the global $α$-generators. The identification of these backgrounds is however left for the work in progress.
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