Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP04(2019)013
Keywords
Extended Supersymmetry; Supergravity Models; Superspaces
Categories
Funding
- NSF [PHY-1521099, PHY-1620742]
- Mitchell Institute for Fundamental Physics and Astronomy at Texas AM University
- GIF, German-Israeli Foundation, for Scientific Research and Development
- Humboldt research fellowship of the Alexander von Humboldt Foundation
- TUBITAK [118F091]
- Alexander von Humboldt fellowship
- Newton International Fellowship of the UK Royal Society
- Interuniversity Attraction Poles Programme
- Belgian Science Policy [P7/37]
- COST Action [MP1210]
- KU Leuven C1 grant [ZKD1118 C16/16/005]
- Albert Einstein Center for Fundamental Physics, University of Bern
- Australian Research Council (ARC) Future Fellowship [FT180100353]
- Arnold-Regge Center of the University of Turin
- Theory Group of the University of Turin
- Mitchell Institute at Texas AM
- High Energy Theory Group at Brown University
- High Energy Theory Group at the University of Vienna
- Theory Group of the University of Milan
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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 Poincare 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 -corrected string theory compactified to six dimensions, including a detailed analysis of the spectrum about the AdS(3) x S-3 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)dS(6) 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.
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