论文标题
超级和p-brane ansatz
Supergravity and p-brane Ansatz
论文作者
论文摘要
该项目探讨了$ d = 11 $超级型号及其p-brane ansatz的属性。在超对称性的背景下，解释了$ d = 11 $超级的作用中的初始场含量（Graviton，Gravitino和抗对称张量场）。然后将动作分解为骨扇区，该策略与$σ$ - 模型在低能限制$α'\ xrightArrow {} 0 $的情况下进行了比较。 $ d = 10 $字符串理论中的dilaton可以从$ d = 11 $ supergravity的维度减少来实现，这给出了行动中的标量贡献，以形成单付动作。然后得出单电荷动作的场方程。引入了$ so（d-d）\ times poincare_ {d} $ ansatz以简化字段方程。场方程的溶液分叉到电动ANSATZ和磁性ANSATZ中。这些ansatzes称为p-branes，它们是插入环境时空中的p维世界体积中存在的类似弦的对象。这些P型晶体的BPS边界已饱和，并且在尺寸降低时，它们类似于标量直至标量的极端Riessner-Nordstrom黑洞。然后得出麸质运动，并探索平行brane轨道的特殊情况。与Riessner-Nordstrom黑洞相似，发现圆形轨道需要特定的角动量，该角度远离中央brane。圆形轨道总是存在于极端情况下，但是不饱和BPS结合的黑色麸皮可能不会在阈值角动量以下具有圆形轨道。
This project explores the $D=11$ supergravity model and the properties of its p-brane ansatz. The initial field content (graviton, gravitino and the anti-symmetric tensor field) in the action of $D=11$ supergravity is explained in the context of supersymmetry. The action is then decomposed to the bosonic sector, which is compared with the $σ$-model in string theory at a low energy limit $α'\xrightarrow{}0$. The dilaton in the $D=10$ string theory can be realised from the dimensional reduction of $D=11$ supergravity, which gives the scalar contribution in the action to form the single-charge action. The field equation of the single-charged action is then derived. An $SO(D-d)\times Poincare_{d}$ ansatz is introduced to simplify the field equation. The solution of the field equation bifurcates into the electric ansatz and the magnetic ansatz. These ansatzes are called p-branes which are string-like objects that exist in their p-dimensional world volume embedded in the ambient spacetime. The BPS bounds are saturated for these p-branes, and upon dimensional reduction, they are similar to extremal Riessner-Nordstrom black holes up to the scalar. The branic motion is then derived and a special case of parallel brane orbit is explored. Similar to the Riessner-Nordstrom black hole, the circular orbit is found to require a specific angular momentum that increases further from the central brane. The circular orbit always exists for the extremal case, but the black branes that do not saturate the BPS bound may not have a circular orbit below a threshold angular momentum.
