两个D6R4型不变量及其高阶推广
The two D6R4 type invariants and their higher order generalisation
摘要：
我们证明了在极大超引力中存在两类不同的D 6 R4型超对称不变量。第二类包括F2 D4 R4中的耦合，其一般化为1/8 BPS保护的F2 kD 4 R4耦合。给出了相应阈值函数的超对称性约束，证明了第二类阈值函数对任意k>0都满足齐次微分方程，从而第二类弦论中相应的精确阈值函数应该与Eisenstein级数成正比，并给出了证明.这个分析特别解释了精确的D 6 R4阈值函数是爱森斯坦函数和弦论中非齐次泊松方程的解之和。
英文摘要：
We show that there are two distinct classes of D6R4 type supersymmetry invariants in maximal supergravity. The second class includes a coupling in F2D4R4 that generalises to 1/8 BPS protected F2kD4R4 couplings. We work out the supersymmetry constraints on the corresponding threshold functions, and argue that the functions in the second class satisfy to homogeneous differential equations for arbitrary k>0, such that the corresponding exact threshold functions in type II string theory should be proportional to Eisenstein series, which we identify. This analysis explains in particular that the exact D6R4 threshold function is the sum of an Eisenstein function and a solution to an inhomogeneous Poisson equation in string theory.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
