AI 中文总结
该研究探讨四维2→2散射振幅的一致复因式分解约束，完善引力微子必为超引力中无质量螺旋度3/2粒子的论证，推导有质量超多重态耦合，计算自旋s≤1有质量粒子的2→2树图振幅，还重构超希格斯机制并确定N=4超引力真空微扰结构。
AI 中文摘要
我研究四维中2→2散射振幅的一致复因式分解所带来的约束及其与超对称的关系。我完善了相关论证，证明无质量螺旋度3/2粒子在超引力理论中必为引力微子，并从第一性原理推导出有质量超多重态的结构与耦合。对于具有扩展超对称的理论中的有质量BPS粒子，我从有质量超振幅的一致因式分解中推导出其耦合的进一步约束，其中包括要求BPS矢量玻色子的耦合需符合李代数结构常数或广义陈-西蒙斯项；引力耦合也参与其中，将引力光子纳入李代数。我运用壳上方法与双重拷贝，计算了（超）引力中所有自旋s≤1的有质量粒子的2→2树图振幅，并将其组装分解为具有不同超对称量的（超）振幅。最后，我研究了具有未破缺N≥4超引力的BPS引力微子的散射，证明一致因式分解可完全重构超希格斯机制，该论证完全确定了规范最大超引力所有N=4闵氏真空的微扰结构，排除了不允许超希格斯机制的理论中的引力微子。
英文摘要
I study constraints from consistent complex factorisation of $2\rightarrow 2$ scattering amplitudes in $4d$ and their relationship with supersymmetry. I complete the argument demonstrating that a massless helicity-$3/2$ particle must be a gravitino in a theory of supergravity and derive the structure and couplings of massive supermultiplets from first principles. For massive BPS particles in theories with extended supersymmetry, further constraints on the couplings are derived from consistent factorisation of massive superamplitudes. Among these is the requirement that BPS vector bosons must have couplings conforming to Lie algebra structure constants or generalised Chern-Simons terms. The gravitational coupling is shown to participate and draws the graviphotons into the Lie algebra. All $2\rightarrow 2$ tree-level amplitudes of massive particles with spin $s\leq 1$ are calculated in (super)gravity using on-shell methods and the double copy. These are assembled and decomposed into (super)amplitudes with varying amounts of supersymmetry. Finally, I study scattering of BPS gravitinos with unbroken $\mathcal{N}\geq 4$ supergravity and show that consistent factorisation leads to the full reconstruction of the super-Higgs mechanism. This argument completely determines the perturbative structure of all $\mathcal{N}=4$ Minkowski vacua of gauged maximal supergravity. Gravitinos in theories not admitting a super-Higgs mechanism are ruled-out.
CommentsComments welcome
