标题： 大体积弦紧致化，再审视 显示英文标题

标题： Large-Volume String Compactifications, Revisited

摘要： 我们在最近关于强耦合弦理论的发现背景下重新考虑异规弦的大体积紧化问题。 我们的结论仍然坚定地否定十维场论的经典紧化，尽管是出于一个新的原因： 当内部六维在异规单位中变得很大时，该理论会在远低于朴素的Kaluza-Klein尺度的能量处获得一个额外的阈值。 正是这个额外的阈值对紧化尺度设定了最终限制：任何紧化都必须满足 M_{卡拉兹-克莱因} > 4*10^7 Gev；对于大多数紧化，实际限制要高得多。 （一般来说，在SO(32)或E_8*E_8异规弦中，M_{克莱因-卡拉兹理论} > alpha_{大统一理论} M_{普朗克}） 显示英文摘要

摘要： We reconsider the issue of large-volume compactifications of the heterotic string in light of the recent discoveries about strongly-coupled string theories. Our conclusion remains firmly negative with respect to classical compactifications of the ten-dimensional field theory, albeit for a new reason: When the internal sixfold becomes large in heterotic units, the theory acquires an additional threshold at energies much less then the naive Kaluza-Klein scale. It is this additional threshold that imposes the ultimate limit on the compactification scale: Any compactification must have M_{Kaluza Klein} > 4*10^7 Gev; for most compactifications, the actual limit is much higher. (Generically, M_{Kaluza Klein} > alpha_{GUT} M_{Planck} in either SO(32) or E_8*E_8 heterotic string.)