Abstract
In this article we carry out a detailed investigation of the geometric nature of the points at infinity of Minkowski superspace. It turns out that there are several sets of points forming the superconformal boundary of Minkowski superspace: on top of a well-behaved super \( \mathcal{I} \), we find other sets that we exhibit and study. We also study the intersection of these boundaries with super null cones and explicitly construct the corresponding space of super cuts.
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Acknowledgments
The authors are grateful to Lionel Mason for many enlightening discussions. We would also like to thank Juyoung Park, Stefan Prohazka and Ergin Sezgin. The work of N.B. was partially supported by the F.R.S.-FNRS PDR grant T.0022.19 “Fundamental issues in extended gravitational theories”. N.B. wants to thank the hospitality of the Institut Denis Poisson, Tours, where the work was finalised. N.P. would like to thank the Fonds de la Recherche Scientifique — FNRS for financial support.
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ArXiv ePrint: 2312.11222
Research Fellow of the F.R.S.-FNRS (Belgium). (Noémie Parrini)
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Boulanger, N., Herfray, Y. & Parrini, N. Conformal boundaries of Minkowski superspace and their super cuts. J. High Energ. Phys. 2024, 177 (2024). https://doi.org/10.1007/JHEP02(2024)177
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DOI: https://doi.org/10.1007/JHEP02(2024)177