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Journal Article

#### The component structure of conformal supergravity invariants in six dimensions

##### Fulltext (public)

1701.08163v1.pdf

(Preprint), 387KB

JHEP05(2017)133.pdf

(Publisher version), 618KB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

Novak, J., Butter, D., & Tartaglino-Mazzucchelli, G. (2017). The component structure
of conformal supergravity invariants in six dimensions.* Journal of high energy physics: JHEP,*
*2017*(05): 133. doi:10.1007/JHEP05(2017)133.

Cite as: http://hdl.handle.net/11858/00-001M-0000-002C-4046-6

##### Abstract

In the recent paper arXiv:1606.02921, the two invariant actions for 6D N=(1,0) conformal supergravity were constructed in superspace, corresponding to the supersymmetrization of C3 and C□C. In this paper, we provide the translation from superspace to the component formulation of superconformal tensor calculus, and we give the full component actions of these two invariants. As a second application, we build the component form for the supersymmetric F□F action coupled to conformal supergravity. Exploiting the fact that the N=(2,0) Weyl multiplet has a consistent truncation to N=(1,0), we then verify that there is indeed only a single N=(2,0) conformal supergravity invariant and reconstruct most of its terms by uplifting a certain linear combination of N=(1,0) invariants.