From Twistor-Particle Models to Massive Amplitudes

IF 0.9 3区 物理与天体物理 Q2 MATHEMATICS
G. Albonico, Yvonne Geyer, L. Mason
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引用次数: 6

Abstract

In his twistor-particle programme of the 1970's, Roger Penrose introduced a representation of the massive particle phase space in terms of a pair of twistors subject to an internal symmetry group. Here we use this representation to introduce a chiral string whose target is a complexification of this space, extended so as to incorporate supersymmetry. We show that the gauge anomalies associated to the internal symmetry group vanish only for maximal supersymmetry, and that correlators in these string models describe amplitudes involving massive particles with manifest supersymmetry. The models and amplitude formulae exhibit a double copy structure from gauge theory on the Coulomb branch to gravity, although the graviton remains massless. The formulae are closely related to those obtained earlier by the authors expressed in terms of the polarised scattering equations.
从扭曲粒子模型到质量振幅
在20世纪70年代的龙卷风粒子计划中,罗杰·彭罗斯引入了一种大质量粒子相空间的表示,即一对内部对称群的龙卷风。在这里,我们使用这个表示来引入一个手性串,它的目标是这个空间的络合,扩展以包含超对称性。我们证明,与内部对称群相关的规范异常仅在最大超对称性时消失,并且这些串模型中的相关器描述了涉及具有明显超对称性的大质量粒子的振幅。模型和振幅公式表现出从库仑分支上的规范理论到重力的双重复制结构,尽管引力子仍然是无质量的。这些公式与作者早先用偏振散射方程表示的公式密切相关。
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来源期刊
CiteScore
1.80
自引率
0.00%
发文量
87
审稿时长
4-8 weeks
期刊介绍: Scope Geometrical methods in mathematical physics Lie theory and differential equations Classical and quantum integrable systems Algebraic methods in dynamical systems and chaos Exactly and quasi-exactly solvable models Lie groups and algebras, representation theory Orthogonal polynomials and special functions Integrable probability and stochastic processes Quantum algebras, quantum groups and their representations Symplectic, Poisson and noncommutative geometry Algebraic geometry and its applications Quantum field theories and string/gauge theories Statistical physics and condensed matter physics Quantum gravity and cosmology.
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