Title: Sidestepping the Cosmological Constant with Football-Shaped Extra Dimensions Show Chinese title

Title: 避开宇宙学常数的橄榄球状额外维度

Abstract: We present an exact solution for a factorizable brane-world spacetime with two extra dimensions and explicit brane sources. The compactification manifold has the topology of a two-sphere, and is stabilized by a bulk cosmological constant and magnetic flux. The geometry of the sphere is locally round except for conical singularities at the locations of two antipodal branes, deforming the sphere into an American-style football. The bulk magnetic flux needs to be fine-tuned to obtain flat geometry on the branes. Once this is done, the brane geometry is insensitive to the brane vacuum energy, which only affects the conical deficit angle of the extra dimensions. Solutions of this form provide a new arena in which to explore brane-world phenomenology and the effects of extra dimensions on the cosmological constant problem. Show Chinese abstract

Abstract: 我们提出了一种可分解的膜世界时空的精确解，该时空有两个额外维度和显式的膜源。 紧化流形具有二维球面的拓扑结构，并通过体宇宙学常数和磁通量稳定。 球面的几何结构在局部上是圆的，除了两个对蹠膜的位置存在锥形奇点，将球面变形为美式足球形状。 体磁通量需要微调以在膜上获得平坦几何结构。 一旦完成此调整，膜的几何结构对膜真空能量不敏感，仅影响额外维度的锥形缺陷角。 这种形式的解提供了一个新的领域，用于探索膜世界现象学以及额外维度对宇宙学常数问题的影响。