论文标题
林德勒空间中的保形对称性和超对称性
Conformal symmetry and supersymmetry in Rindler space
论文作者
论文摘要
本文介绍了延长的时空对称性的命运,特别是在二维RINDLER时空中,适用于适合于平面1+1+1维空间时均匀加速的非惯性框架的二维Rindler时空。通常,除了结构性的坐标转换外,从Minkowski到Rindler空间的场的转化还伴随着组件的局部保形和Lorentz变换,这也影响了相关的Fock空间之间的Bogoliubov变换。我为无质量标量和纺纱构建了这些转换,以及与局部保形和超对称性所必需的幽灵和超霍斯特领域,这是从耦合到2-D重力或超级重力的。在Minkowski和Rindler空间中取消异常情况需要具有无限字符串限制弦理论中众所周知的粒子临界谱的理论,并且与Minkowski和Rindler框架理论的等效性有关。
This paper addresses the fate of extended space-time symmetries, in particular conformal symmetry and supersymmetry, in two-dimensional Rindler space-time appropriate to a uniformly accelerated non-inertial frame in flat 1+1-dimensional space-time. Generically, in addition to a conformal co-ordinate transformation, the transformation of fields from Minkowski to Rindler space is accompanied by local conformal and Lorentz transformations of the components, which also affect the Bogoliubov transformations between the associated Fock spaces. I construct these transformations for massless scalars and spinors, as well as for the ghost and super-ghost fields necessary in theories with local conformal and supersymmetries, as arising from coupling to 2-D gravity or supergravity. Cancellation of the anomalies in Minkowski and in Rindler space requires theories with the well-known critical spectrum of particles arising in string theory in the limit of infinite strings, and is relevant for the equivalence of Minkowski and Rindler frame theories.