罗马质量的本地化O6-plane解决方案
Localized O6-plane solutions with Romans mass
摘要：
Orientifold解在其源周围有一个非物理区域;对于O 6，奇异性在M理论中由Atiyah-Hitchin度规解决。然而，巨大的IIA并不承认11维的提升，人们想知道那里的O 6会发生什么。在本文中，我们发现的证据存在的本地化（未涂抹）O 6解决方案的罗马质量，在四维紧化的背景下。作为第一步，我们证明了对于一般的超对称紧化，F_4 RR域的Bianchi恒等式由F_0的恒定性导出。利用这一点，我们找到了一个在F_0中变形任何一阶O_6-D_6 Minkowski紧化的方法。对于单个O 6，无质量解的一些对称性被打破，但剩下的仍然足以得到一个变量和方程一样多的常微分方程组。数值分析表明，罗马人的弥撒使非物质区域消失。
英文摘要：
Orientifold solutions have an unphysical region around their source; for the O6, the singularity is resolved in M-theory by the Atiyah-Hitchin metric. Massive IIA, however, does not admit an eleven-dimensional lift, and one wonders what happens to the O6 there. In this paper, we find evidence for the existence of localized (unsmeared) O6 solutions in presence of Romans mass, in the context of four-dimensional compactifications. As a first step, we show that for generic supersymmetric compactifications, the Bianchi identity for the F_4 RR field follows from constancy of F_0. Using this, we find a procedure to deform any O6-D6 Minkowski compactification at first order in F_0. For a single O6, some of the symmetries of the massless solution are broken, but what is left is still enough to obtain a system of ODEs with as many variables as equations. Numerical analysis indicates that Romans mass makes the unphysical region disappear.
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