The pure spinor formalism for the superstring can be formulated as a twistedN=2 worldsheet theory with fermionic generators $j_{BRST}$ and composite $b$ghost. After untwisting the formalism to an N=1 worldsheet theory withfermionic stress tensor $j_{BRST}+b$, the worldsheet variables combine into N=1worldsheet superfields $X^m$ and $\Theta^\alpha$ together with a superfieldconstraint relating $DX^m$ and $D\Theta^\alpha$. The constraint implies thatthe worldsheet superpartner of $\theta^\alpha$ is a bosonic twistor variable,and different solutions of the constraint give rise to the pure spinor orextended RNS formalisms, as well as a new twistor-string formalism withmanifest N=1 worldsheet supersymmetry. These N=1 worldsheet methods generalize in curved Ramond-Ramond backgrounds,and a manifestly N=1 worldsheet supersymmetric action is proposed for thesuperstring in an $AdS_5\times S^5$ background in terms of the twistorsuperfields. This $AdS_5\times S^5$ worldsheet action is a remarkably simplefermionic coset model with manifest $PSU(2,2|4)$ symmetry and might be usefulfor computing $AdS_5\times S^5$ superstring scattering amplitudes.
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机译：可以将超弦的纯旋子形式主义表述为具有费米离子发生器$ j_ {BRST} $和复合$ b $ ghost的twistedN = 2 worldsheet理论。在将形式主义解开为具有费米子应力张量$ j_ {BRST} + b $的N = 1世界表理论之后，worldsheet变量合并为N = 1worldsheet超域$ X ^ m $和$ \ Theta ^ \ alpha $以及与超场约束相关的$ DX ^ m $和$ D \ Theta ^ \ alpha $。该约束意味着$ \ theta ^ \ alpha $的世界表超级伙伴是一个玻色子扭曲变量，并且该约束的不同解决方案产生了纯自旋子或扩展的RNS形式主义，以及带有N = 1个世界表的新的扭曲字符串形式主义。超对称。这些N = 1的worldsheet方法推广到弯曲的Ramond-Ramond背景中，并根据扭转超场，在$ AdS_5 \ S×5 $的背景下，为超弦提出了明显的N = 1的worldsheet超对称作用。这个$ AdS_5 \ times S ^ 5 $ worldsheet动作是一个非常明显的简单费米子共聚模型，具有明显的$ PSU（2,2 | 4）$对称性，可能对计算$ AdS_5 \ times S ^ 5 $超弦散射幅度有用。
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