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关于ambitwistor弦的规范协变顶点算符的注记

A note on gauge-covariant vertex operators of the ambitwistor string

Osvaldo Chandia

arXiv 2609.27026首次发表:更新:

AI 中文总结

本文在玻色子ambitwistor弦中构造规范协变顶点算符,通过反鬼场无关子复形实现无洛伦兹条件的BRST闭包,并区分于完整相对BRST上同调。

AI 中文摘要

我们在玻色子ambitwistor弦的一个反鬼场无关子复形中构造了规范协变的未积分顶点算符。对于线性化规范场,一个世界面鬼导数项补全了标准顶点,使得BRST闭包在不需要洛伦兹条件的情况下给出∂^n F_{nmI}=0。在秩二扇区,我们使用一个无反鬼场的ansatz,足以分离出一个微分同胚不变的旋量二子扇区。在消除辅助场并一致地将反对称和标量组合设为零后,BRST闭包给出R_{mn}=0而不需要横截性条件。我们将此构造与玻色子ambitwistor弦的完整相对BRST上同调区分开来,后者的额外反鬼场依赖态导致了已知的高阶导数谱。

英文摘要

We construct gauge-covariant unintegrated vertex operators in an antighost-independent subcomplex of the bosonic ambitwistor string. For a linearized gauge field, a world-sheet ghost-derivative term completes the standard vertex so that BRST closure imposes $\p^nF_{nmI}=0$ without the Lorenz condition. In the rank-two sector we use an antighost-free ansatz that is sufficient to isolate a diffeomorphism-invariant spin-two subsector. After eliminating auxiliary fields and consistently setting the antisymmetric and scalar combinations to zero, BRST closure gives $R_{mn}=0$ without imposing transversality. We distinguish this construction from the full relative BRST cohomology of the bosonic ambitwistor string, whose additional antighost-dependent states lead to the known higher-derivative spectrum.

CommentsLatex, 11 pages

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