论文标题
4D IIB通量真空和超对称性破裂。 I.费米子频谱
A 4D IIB Flux Vacuum and Supersymmetry Breaking. I. Fermionic Spectrum
论文作者
论文摘要
我们考虑包括内部$ t^5 $的IB型超级真空吸尘器，取决于单个坐标$ r $并尊重四维的PoincaréSymmetry，目的是突出显示具有断裂的超级对称性的低能光谱和界面耦合。这些真空的特征是内部圆环中自二五个形式的助焊剂$φ$，坐标$ r $所描述的间隔的长度$ \ ell $，这是一个不可避免地恒定且严格的无尺寸无尺寸参数$ h $的dilaton配置文件。作为$ \ rightArrow \ infty $，在保留$φ$和$ \ ell \ \ el \ \ el \，h^{ - \，\ frac {5} {4}} $的同时，恢复了原始的十维超级对称的一半，而有限的值则恢复了，而有限的值则完全破裂。在大的 - $ \ ell $中，一个边界消失了，但另一个边界仍然存在，并且被探针brane视为BPS Erientifold。在本文中，我们专注于费米子零模式，并表明，尽管超对称性因$ \ ell $的有限值而破坏，但令人惊讶的是，它们是四维$ n = 4 $ supergravity耦合与五个矢量多重组的那些。 Gravitini可以通过辐射校正获得质量，从而吸收四个无质量旋转的 - $ \ frac {1} {2} $模式。
We consider the type-IIB supergravity vacua that include an internal $T^5$, depend on a single coordinate $r$ and respect a four-dimensional Poincaré symmetry, with the aim of highlighting low-energy spectra with broken supersymmetry and a bounded string coupling. These vacua are characterized by the flux $Φ$ of the self-dual five form in the internal torus, the length $\ell$ of the interval described by the coordinate $r$, a dilaton profile that is inevitably constant and a strictly positive dimensionless parameter $h$. As $\ell\rightarrow\infty$ while retaining finite values for $Φ$ and $\ell \,h^{-\,\frac{5}{4}}$, half of the original ten-dimensional supersymmetry is recovered, while finite values of $\ell$ break it completely. In the large-$\ell$ limit one boundary disappears but the other is still present, and is felt as a BPS orientifold by a probe brane. In this paper we focus on the fermionic zero modes and show that, although supersymmetry is broken for finite values of $\ell$, they are surprisingly those of four-dimensional $N=4$ supergravity coupled to five vector multiplets. The gravitini can acquire masses via radiative corrections, absorbing four of the massless spin-$\frac{1}{2}$ modes.
