双中心魔法充能轨道
Two-Centered Magical Charge Orbits
摘要：
我们确定了四维神奇N = 2和最大N = 8超引力理论的两中心一般电荷轨道。这些轨道由七个U-对偶不变多项式分类，它们在水平对称群SL（2，R）下组合成四个不变量。后者有望解开双中心黑洞系统的不同物理性质。电荷度最低的不变量是辛积（Q1，Q2），已知控制两个中心的相互非定域性。
英文摘要：
We determine the two-centered generic charge orbits of magical N = 2 and maximal N = 8 supergravity theories in four dimensions. These orbits are classified by seven U-duality invariant polynomials, which group together into four invariants under the horizontal symmetry group SL(2,R). These latter are expected to disentangle different physical properties of the two-centered black-hole system. The invariant with the lowest degree in charges is the symplectic product (Q1,Q2), known to control the mutual non-locality of the two centers.
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