论文标题
多个D0-Brane系统的属性:11D起源,运动方程及其解决方案
Properties of multiple D0-brane system: 11D origin, equations of motion and their solutions
论文作者
论文摘要
我们研究了由最近提出的完全超对称和$κ$ - 符合对称的非线性动作描述的10D多重D0-Brane(MD0)系统的性能,其中包括相对运动Hamiltonian $ {\ cal H} $的任意正定函数$ {\ cal m}({\ cal H})$。首先,我们展示如何使用特定非线性$ {\ cal m}({\ cal H})$从11D多个M-Wave(多个M0-M0-Brane或MM0)系统获得的操作。然后,我们获得了具有任意正定义的$ {\ cal m}({\ cal H})$的MD0系统的完整运动方程式,执行方便的量学固定,求解能量方程中心,并在相对运动MD0方程与最大性超中性Sumpersmemalsmetrical Summetric Summetric Summetric Summetric Sumimmetric Summetric Sumills yang-Mills Thores(N)方程之间建立有趣的对应关系。我们表明,这种对应关系并不意味着量规等值,而是建立系统解决方案之间的关系。特别是,它意味着其相对运动部分中MD0方程的所有超对称溶液与Sym方程的超对称溶液一致。
We study the properties of 10D multiple D0-brane (mD0) system described by recently proposed complete supersymmetric and $κ$-symmetric nonlinear action which includes an arbitrary positive definite function ${\cal M}({\cal H})$ of the relative motion Hamiltonian ${\cal H}$. First we show how the action with a particular nonlinear ${\cal M}({\cal H})$ can be obtained from the action for 11D multiple M-wave (multiple M0-brane or mM0) system. Then we obtain the complete set of equations of motion of mD0 system with arbitrary positive definite ${\cal M}({\cal H})$, perform a convenient gauge fixing, solve the center of energy equations and establish an interesting correspondence between the relative motion mD0 equations and the equations of maximal supersymmetric SU(N) Yang-Mills theory (SYM). We show that this correspondence does not imply a gauge equivalence but establishes a relation between solutions of the system. In particular, it implies that all the supersymmetric solutions of mD0 equations in its relative motion part coincide with supersymmetric solutions of the SYM equations.