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Article

Conformal Symmetry and Supersymmetry in Rindler Space

1
Nikhef, 1098XG Amsterdam, The Netherlands
2
Lorentz Institute, Leiden University, Niels Bohrweg 2, 2333CA Leiden, The Netherlands
Universe 2020, 6(9), 144; https://doi.org/10.3390/universe6090144
Received: 27 July 2020 / Revised: 26 August 2020 / Accepted: 31 August 2020 / Published: 4 September 2020
(This article belongs to the Special Issue Gauge Theory, Strings and Supergravity)
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. View Full-Text
Keywords: Rindler space; conformal symmetry; supersymmetry; Bogoliubov transformations Rindler space; conformal symmetry; supersymmetry; Bogoliubov transformations
MDPI and ACS Style

van Holten, J.-W. Conformal Symmetry and Supersymmetry in Rindler Space. Universe 2020, 6, 144. https://doi.org/10.3390/universe6090144

AMA Style

van Holten J-W. Conformal Symmetry and Supersymmetry in Rindler Space. Universe. 2020; 6(9):144. https://doi.org/10.3390/universe6090144

Chicago/Turabian Style

van Holten, Jan-Willem. 2020. "Conformal Symmetry and Supersymmetry in Rindler Space" Universe 6, no. 9: 144. https://doi.org/10.3390/universe6090144

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