Curvature squared invariants in six-dimensional N = (1, 0) supergravity

Butter, Daniel; Novak, Joseph; Ozkan, Mehmet; Pang, Yi; Tartaglino Mazzucchelli, Gabriele (2019). Curvature squared invariants in six-dimensional N = (1, 0) supergravity. Journal of High Energy Physics, 2019(4), 013. Springer 10.1007/JHEP04(2019)013

Butter2019_Article_CurvatureSquaredInvariantsInSi.pdf - Published Version
Available under License Creative Commons: Attribution (CC-BY).

Download (1MB) | Preview

We describe the supersymmetric completion of several curvature-squared invariants for N = (1, 0) supergravity in six dimensions. The construction of the invariants is based on a close interplay between superconformal tensor calculus and recently developed superspace techniques to study general off-shell supergravity-matter couplings. In the case of minimal off-shell Poincaré supergravity based on the dilaton-Weyl multiplet coupled to a linear multiplet as a conformal compensator, we describe off-shell supersymmetric completions for all the three possible purely gravitational curvature-squared terms in six dimensions: Riemann, Ricci, and scalar curvature squared. A linear combination of these invariants describes the off-shell completion of the Gauss-Bonnet term, recently presented in arXiv:1706.09330. We study properties of the Einstein-Gauss-Bonnet super-gravity, which plays a central role in the effective low-energy description of α′-corrected string theory compactified to six dimensions, including a detailed analysis of the spectrum about the AdS3 × S3 solution. We also present a novel locally superconformal invariant based on a higher-derivative action for the linear multiplet. This invariant, which includes gravitational curvature-squared terms, can be defined both coupled to the standard-Weyl or dilaton-Weyl multiplet for conformal supergravity. In the first case, we show how the addition of this invariant to the supersymmetric Einstein-Hilbert term leads to a dynamically generated cosmological constant and non-supersymmetric (A)dS6 solutions. In the dilaton-Weyl multiplet, the new off-shell invariant includes Ricci and scalar curvaturesquared terms and possesses a nontrivial dependence on the dilaton field.

Item Type:

Journal Article (Original Article)


10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Tartaglino Mazzucchelli, Gabriele


500 Science > 530 Physics








Esther Fiechter

Date Deposited:

02 Jul 2019 11:09

Last Modified:

26 Oct 2019 17:27

Publisher DOI:


ArXiv ID:





Actions (login required)

Edit item Edit item
Provide Feedback