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  The Action of the (free) (4,0)-theory

Henneaux, M., Lekeu, V., & Leonard, A. (2018). The Action of the (free) (4,0)-theory. Journal of high energy physics: JHEP, 2018(01): 114. doi:10.1007/JHEP01(2018)114.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0000-3D60-0 Version Permalink: http://hdl.handle.net/21.11116/0000-0001-6A74-6
Genre: Journal Article

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 Creators:
Henneaux, Marc, Author
Lekeu, Victor, Author
Leonard, Amaury1, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: The $(4,0)$ theory in six dimensions is an exotic theory of supergravity that has been argued to emerge as the strong coupling limit of theories having $N=8$ supergravity as their low energy effective theory in five spacetime dimensions. It has maximal supersymmetry and is superconformal. Very little is known about this intriguing theory. While the spectrum of fields occurring in its description has been given and their equations of motion in the absence of interactions have been written down, no action principle has been formulated, even in the free case. We extend here previous analyses by writing explicitly the action of the free $(4,0)$ theory from which the equations of motion derive. The variables of the variational principle are prepotentials adapted to the self-duality properties of the fields. The "exotic gravitini", described by chiral fermionic two-forms, are given special attention. The supersymmetry transformations are written down and the invariance of the action is explicitly proven. Even though the action is not manifestly covariant, the symmetry transformations are shown to close according to the $(4,0)$-extended Poincar\'e supersymmetry algebra. We also discuss exotic supergravity models with fewer supersymmetries. Remarks on dimensional reduction close the paper.

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 Dates: 2017-11-202018
 Publication Status: Published in print
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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2018 (01) Sequence Number: 114 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: /journals/resource/111021927548002

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Title: Journal of high energy physics : JHEP
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2018 (05) Sequence Number: 105 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: /journals/resource/111021927548002