AI 中文总结
研究十维 IIA 型和 IIB 型弦理论单圈有效作用量，发现有违反软 dilaton 定理的项，源于世界面超共形鬼场零模，解决了紧致化到非零欧拉数卡拉比 - 丘流形分析黑洞指标时的难题。
AI 中文摘要
我们表明，十维 IIA 型和 IIB 型弦理论的单圈有效作用量具有与dilaton乘以十维欧拉密度成比例的项，这明显违反了软dilaton定理。这可追溯到世界面超共形鬼场零模的存在，并解决了最近在将这些理论紧致化到非零欧拉数的卡拉比 - 丘流形上分析黑洞指标时出现的一个难题。
英文摘要
We show that the one loop effective action of type IIA and IIB string theories in ten dimensions have terms proportional to the dilaton times the ten dimensional Euler density, in apparent violation of the soft dilaton theorem. This can be traced to the existence of the zero modes of the world-sheet superconformal ghost fields and resolves a puzzle that arose recently in the analysis of black hole index when we compactify these theories on Calabi-Yau manifolds of non-zero Euler number.
CommentsLaTeX file; 16 pages; v2: typos corrected, other minor changes
