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The dynamical creation/annihilation of a Dp-brane from D(p − 2) branes
Communications in Theoretical Physics ( IF 3.1 ) Pub Date : 2021-02-12 , DOI: 10.1088/1572-9494/abbcd1
Xiaoying Zhu

We discuss how to generate a dynamical Dp-brane with a topology of ${R}^{p-2}\times {S}^{2}$ from N D(p−2)-branes with ${R}^{p-2}$ topology with or without the presence of a constant RR (p+2)-form flux. This extends the previous work (Chen and Lu 2004 arXiv:hep-th/0405265) of generating a dynamical spherical D2 brane from N D0 branes in a constant RR four-form flux to a general p. In particular, dynamically generating a higher dimensional brane from lower dimensional ones does not necessarily need the presence of a relevant RR background flux but needs excess energy, lending support to the spacetime uncertainty principle. The time evolution of the dynamical p-brane for a general p remains the same as for the p = 2 case, however there is a class of spatial dependent Dp configurations when p ≥ 3. Some of these spatial-dependent Dp brane configurations and their properties have been discussed previously which can also be obtained from the time-dependent one by euclideanizing the time. Properties of the spatial-dependent solutions and their relations to the corresponding brane-anti brane system are discussed.



中文翻译:

从D(p -2)膜中动态生成/歼灭D p-硼烷

我们讨论如何生成具有从N D(p -2)个脑的拓扑结构的动态D p-脑,该拓扑具有或不具有恒定RR(p +2)形式的通量。这将先前的工作(Chen and Lu 2004 arXiv:hep-th / 0405265)扩展为从N D0支油管以恒定的RR四形式通量产生动态球形D2支油管到一般p。特别地,从低维的动态生成高维的麸皮不一定需要存在相关的RR背景通量,而是需要多余的能量,这为时空不确定性原理提供了支持。动态p的时间演化$ {R} ^ {p-2} \ times {S} ^ {2} $$ {R} ^ {p-2} $-brane对于一般的p保持相同的p = 2的情况下,然而还有一类空间依赖性d的p配置时p ≥3.一些这些空间依赖性d的p brane的构造和它们的性质已在前面讨论这也可以通过与时间相关的时间通过欧化时间来获得。讨论了空间相关解的性质及其与相应的brane-anti brane系统的关系。

更新日期:2021-02-12
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