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Conformal Symmetry and Supersymmetry in Rindler Space
Universe ( IF 2.9 ) Pub Date : 2020-09-04 , DOI: 10.3390/universe6090144
Jan-Willem van Holten

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 two-dimensional (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 that arise in string theory in the limit of infinite strings, and it is relevant for the equivalence of Minkowski and Rindler frame theories.

中文翻译:

Rindler空间中的共形对称性和超对称性

本文研究了二维Rindler时空中扩展的时空对称性(尤其是共形对称性和超对称性)的命运,该对称性适用于平面1 + 1维时空中均匀加速的非惯性框架。通常,除了共形坐标变换外,从Minkowski到Rindler空间的场变换还伴随着组件的局部共形和Lorentz变换,这也影响了相关Fock空间之间的Bogoliubov变换。我为无质量标量和旋转子,以及由于耦合到二维(2-D)重力或超重力而产生的局部共形和超对称理论中必需的重影和超重影场构造了这些转换。
更新日期:2020-09-05
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