论文标题

纯纺纱及其应用的纯纺纱配方

Pure spinor formulation of the superstring and its applications

论文作者

Berkovits, Nathan, Mafra, Carlos R.

论文摘要

超级弦的纯纺纱形式优于明显的时空超对称性的更传统的Ramond-Neveu-Schwarz形式主义,这简化了多颗粒和多颗粒振幅的计算,并允许对Ramond-Ramond背景的描述。除了绿色 - 奇瓦兹 - siegel动作的世界表变量外,纯纺纱形式还包括骨气幽灵变量,这些变量是受约束的时空旋转器,并且是使用Nilpotent BRST操作员进行协变量量化所需的。 在这篇综述中,描述了形式主义的几种应用,包括在d = 10的一般磁盘振幅中的显式计算,具有任意数量的外部无质量状态,一个具有多达七个外部状态的振幅,两个振幅,两个振幅,最高五个外部状态,最高五个外部状态,以及与三个外部状态的低振幅限制,以及与四个外部状态的低幅度。纯旋转形式主义也已用于将$ ads_5 \ times s^5 $背景中的superString量化,可能对在小广告半径的极限中证明ADS-CFT对应关系可能很有用。 这是为“量子引力手册”编写的概述,编辑。 C. Bambi,L。Modesto和I. Shapiro。

The pure spinor formalism for the superstring has the advantage over the more conventional Ramond-Neveu-Schwarz formalism of being manifestly spacetime supersymmetric, which simplifies the computation of multiparticle and multiloop amplitudes and allows the description of Ramond-Ramond backgrounds. In addition to the worldsheet variables of the Green-Schwarz-Siegel action, the pure spinor formalism includes bosonic ghost variables which are constrained spacetime spinors and are needed for covariant quantization using a nilpotent BRST operator. In this review, several applications of the formalism are described including the explicit computation in D=10 superspace of the general disk amplitude with an arbitrary number of external massless states, genus one amplitudes with up to seven external states, genus two amplitudes with up to five external states, and the low-energy limit of the genus three amplitude with up to four external states. The pure spinor formalism has also been used to covariantly quantize the superstring in an $AdS_5\times S^5$ background and might be useful for proving the AdS-CFT correspondence in the limit of small AdS radius. This is an overview written for the "Handbook of Quantum Gravity", eds. C. Bambi, L. Modesto and I. Shapiro.

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