Topology Changing Transitions in Bubbling Geometries
Topology Changing Transitions in Bubbling Geometries
复制标题
冒泡几何中的拓扑变化过渡
DOI：
10.1088/1126-6708/2005/02/063
复制
发表时间：
2005
期刊：
影响因子：
--
通讯作者：
Peter G. Shepard
中科院分区：
文献类型：
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作者：
Petr Hořava;Peter G. Shepard
具有SO（4）× SO（4）对称性的Bubbling半BPS Ⅱ B型几何中的拓扑跃迁可以分解为n个基本跃迁序列.描述基本跃迁的半BPS解由填充两个对角象限的费米子的相空间分布播种。我们研究这个解决方案的几何形状在一些细节。我们表明，这个解决方案可以被解释为一个时间依赖的几何形状，在遥远的过去和遥远的未来两个渐近PP波之间的插值。跃迁处的奇异解可以用两种不同的方法解决，这两种方法与有效费米子描述中的粒子-空穴对偶性有关。拓扑变化的一些普适特征由二维Type 0 B弦理论支配，其双标度极限对应于AdS 5 × S5在拓扑跃迁时的Penrose极限.此外，我们提出了完整的一类几何形状描述附近的最一般的本地化的经典奇点，可以发生在这一类的半BPS冒泡的几何形状。
Topological transitions in bubbling half-BPS Type IIB geometries with SO(4) × SO(4) symmetry can be decomposed into a sequence of n elementary transitions. The half-BPS solution that describes the elementary transition is seeded by a phase space distribution of fermions filling two diagonal quadrants. We study the geometry of this solution in some detail. We show that this solution can be interpreted as a time dependent geometry, interpolating between two asymptotic pp-waves in the far past and the far future. The singular solution at the transition can be resolved in two different ways, related by the particle-hole duality in the effective fermion description. Some universal features of the topology change are governed by two-dimensional Type 0B string theory, whose double scaling limit corresponds to the Penrose limit of AdS5 × S 5 at topological transition. In addition, we present the full class of geometries describing the vicinity of the most general localized classical singularity that can occur in this class of half-BPS bubbling geometries.