发表机构
Sanyo-Onoda City University; Nara Women’s University（山口县立大学; 奈良女子大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过BRST下降构造仅满足de Donder规范的引力子顶点算符，证明迹相关项对正确再现引力子-膜耦合至关重要，抵消Dirichlet方向贡献。
AI 中文摘要
我们通过 BRST 下降构造了荷数为三的引力子顶点算符，仅施加 de Donder 规范条件而不要求无迹性，重新审视了引力子迹部在协变弦振幅中的作用。所得算符即使在零动量下也是良定义的，而对于非零动量，下降链中依赖迹的部分构成一个平凡的 BRST 下降链。在存在 D$p$-膜的情况下计算其圆盘单点函数，我们证明依赖迹的项对于再现正确的引力子-膜耦合至关重要，它抵消了 Dirichlet 方向的贡献，并留下与体世界体积分量期望的耦合。
英文摘要
We revisit the role of the trace sector of the graviton in covariant string amplitudes by constructing the ghost-number-three graviton vertex operator via BRST descent, imposing only the de Donder gauge condition without requiring tracelessness. The resulting operator is well defined even at zero momentum, while for nonzero momentum the trace-dependent sector of the descent chain forms a trivial BRST descent chain. Evaluating its disk one-point function in the presence of a D$p$-brane, we show that the trace-dependent term is essential for reproducing the correct graviton-brane coupling, canceling the Dirichlet-direction contributions and leaving the expected coupling to the world-volume components.
Comments11 pages, no figures
