论文标题
t的问题
The Tadpole Problem
论文作者
论文摘要
我们检查了大量模量极限的通量稳定机制。我们猜想，一个人不能通过磁通量（远离奇异性）的通用点（远离奇异性）稳定所有复杂结构模量，从而满足tadpole取消条件所施加的结合。更确切地说，虽然t的t骨结合在大量复杂结构模量的极限上，就像模量数量的1/4一样，但我们认为，稳定的通量稳定的电荷诱导的电荷量比此增长的速度快，因此大于允许的量。我们的猜想得到了两个例子：K3 x K3压缩，其中通过使用进化算法，我们发现模量稳定需要的磁通量为诱导的电荷的44％，而在CP^3上的IIB型压缩型需要稳定d7- brane d7- brane d7 is of d7-brane d7 is of cp^3的IIB型压缩。证明我们的猜想将排除通过抗纤维隆起获得的de de Sitter真空，并在长期扭曲的喉咙中具有层次较小的超对称性断裂量表，这需要大的t。
We examine the mechanism of moduli stabilization by fluxes in the limit of a large number of moduli. We conjecture that one cannot stabilize all complex-structure moduli in F-theory at a generic point in moduli space (away from singularities) by fluxes that satisfy the bound imposed by the tadpole cancelation condition. More precisely, while the tadpole bound in the limit of a large number of complex-structure moduli goes like 1/4 of the number of moduli, we conjecture that the amount of charge induced by fluxes stabilizing all moduli grows faster than this, and is therefore larger than the allowed amount. Our conjecture is supported by two examples: K3 x K3 compactifications, where by using evolutionary algorithms we find that moduli stabilization needs fluxes whose induced charge is 44% of the number of moduli, and Type IIB compactifications on CP^3, where the induced charge of the fluxes needed to stabilize the D7-brane moduli is also 44% of the number of these moduli. Proving our conjecture would rule out de Sitter vacua obtained via antibrane uplift in long warped throats with a hierarchically small supersymmetry breaking scale, which require a large tadpole.
