Conformal Symmetry and Supersymmetry in Rindler Space
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...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-09-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/6/9/144 |
| _version_ | 1797554573392478208 |
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| author | Jan-Willem van Holten |
| author_facet | Jan-Willem van Holten |
| author_sort | Jan-Willem van Holten |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T16:32:56Z |
| format | Article |
| id | doaj.art-937002e6f9aa44ffbacc0e8ae2e38dbe |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-10T16:32:56Z |
| publishDate | 2020-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-937002e6f9aa44ffbacc0e8ae2e38dbe2023-11-20T12:40:15ZengMDPI AGUniverse2218-19972020-09-016914410.3390/universe6090144Conformal Symmetry and Supersymmetry in Rindler SpaceJan-Willem van Holten0Nikhef, 1098XG Amsterdam, The NetherlandsThis 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.https://www.mdpi.com/2218-1997/6/9/144Rindler spaceconformal symmetrysupersymmetryBogoliubov transformations |
| spellingShingle | Jan-Willem van Holten Conformal Symmetry and Supersymmetry in Rindler Space Universe Rindler space conformal symmetry supersymmetry Bogoliubov transformations |
| title | Conformal Symmetry and Supersymmetry in Rindler Space |
| title_full | Conformal Symmetry and Supersymmetry in Rindler Space |
| title_fullStr | Conformal Symmetry and Supersymmetry in Rindler Space |
| title_full_unstemmed | Conformal Symmetry and Supersymmetry in Rindler Space |
| title_short | Conformal Symmetry and Supersymmetry in Rindler Space |
| title_sort | conformal symmetry and supersymmetry in rindler space |
| topic | Rindler space conformal symmetry supersymmetry Bogoliubov transformations |
| url | https://www.mdpi.com/2218-1997/6/9/144 |
| work_keys_str_mv | AT janwillemvanholten conformalsymmetryandsupersymmetryinrindlerspace |