二次锥上曲βγ系的Hilbert空间
Hilbert space of curved βγsystems on quadric cones
摘要：
我们阐明了由二次约束定义的曲βγ系统的Hilbert空间的结构。使用本征方法和BRST方法研究了该约束，并且证明它们的配分函数是一致的。量子BRST上同调仅在鬼数0和1处是非空的，并且在这两个扇区之间存在一对一的映射。在内禀描述中，鬼数1算子对应于在约束曲面上没有全局定义的算子。将结果推广到纯旋量超弦将在另一篇文章中讨论。
英文摘要：
We clarify the structure of the Hilbert space of curved βγsystems defined by a quadratic constraint. The constraint is studied using intrinsic and BRST methods, and their partition functions are shown to agree. The quantum BRST cohomology is non-empty only at ghost numbers 0 and 1, and there is a one-to-one mapping between these two sectors. In the intrinsic description, the ghost number 1 operators correspond to the ones that are not globally defined on the constrained surface. Extension of the results to the pure spinor superstring is discussed in a separate work.
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