Torus reduction of maximal conformal supergravity

A bstract We consider the dimensional reduction of N = (2, 0) conformal supergravity in six dimensions on a two-torus to N = 4 conformal supergravity in four dimensions. At the level of kinematics, the six-dimensional Weyl multiplet is shown to reduce to a mixture of the N = 4 Weyl and vector multiplets, which can be reinterpreted as a new off-shell multiplet of N = 4 conformal supergravity. Similar multiplets have been constructed in other settings and are referred to as dilaton Weyl multiplets. We derive it here for the first time in a maximally supersymmetric context in four dimensions. Furthermore, we present the non-linear relations between all the six- and four-dimensional bosonic and fermionic fields, that are obtained by comparing the off-shell supersymmetry transformation rules.

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Publication Details

Journal
Journal of High Energy Physics
Published
2024-12-20
DOI
https://doi.org/10.1007/jhep12(2024)151
Citations
6
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
3.96

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article

Torus reduction of maximal conformal supergravity

Franz Ciceri, Bindusar Sahoo, Axel Kleinschmidt, Subrabalan Murugesan
6 citations
Journal of High Energy Physics
Black Holes and Theoretical Physics
3.96
article

Torus reduction of maximal conformal supergravity

Franz Ciceri, Bindusar Sahoo, Axel Kleinschmidt, Subrabalan Murugesan
article en
6 citations

Abstract

A bstract We consider the dimensional reduction of N = (2, 0) conformal supergravity in six dimensions on a two-torus to N = 4 conformal supergravity in four dimensions. At the level of kinematics, the six-dimensional Weyl multiplet is shown to reduce to a mixture of the N = 4 Weyl and vector multiplets, which can be reinterpreted as a new off-shell multiplet of N = 4 conformal supergravity. Similar multiplets have been constructed in other settings and are referred to as dilaton Weyl multiplets. We derive it here for the first time in a maximally supersymmetric context in four dimensions. Furthermore, we present the non-linear relations between all the six- and four-dimensional bosonic and fermionic fields, that are obtained by comparing the off-shell supersymmetry transformation rules.

Journal of High Energy PhysicsVol. 2024(12)
École Normale Supérieure de Lyon (FR), Laboratoire de Physique de l'ENS de Lyon (FR), Max Planck Institute for Gravitational Physics (DE), Laboratoire de Physique de l'Ecole Normale Supérieure (FR), International Solvay Institutes (BE), Indian Institute of Science Education and Research Thiruvananthapuram (IN)
Indian Institute of Science, European Commission, Department of Science and Technology, Ministry of Science and Technology, India, Deutscher Akademischer Austauschdienst, Deutsche Forschungsgemeinschaft, Indian Institute of Science Education and Research Bhopal, Indian Institute of Science Education and Research Mohali, Science and Engineering Research Board, Division of Mathematical Sciences
Openalex Percentile: Top 5%
Black Holes and Theoretical Physics
3.96
DOIOpen Access PDFOpenAlex
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Torus reduction of maximal conformal supergravity — Franz Ciceri, Bindusar Sahoo, et al. · Journal of High Energy Physics (2024) | TGRS Research Map | TGRS