Higher Derivative Extension of 6D Chiral Gauged Supergravity

Abstract

Six-dimensional (1,0) supersymmetric gauged Einstein-Maxwell supergravity is extended by the inclusion of a supersymmetric Riemann tensor squared invariant. Both the original model as well as the Riemann tensor squared invariant are formulated off-shell and consequently the total action is off-shell invariant without modification of the supersymmetry transformation rules. In this formulation, superconformal techniques, in which the dilaton Weyl multiplet plays a crucial role, are used. It is found that the gauging of the U(1) R-symmetry in the presence of the higher-order derivative terms does not modify the positive exponential in the dilaton potential. Moreover, the supersymmetric Minkowski(4) x S^2 compactification of the original model, without the higher-order derivatives, is remarkably left intact. It is shown that the model also admits non-supersymmetric vacuum solutions that are direct product spaces involving de Sitter spacetimes and negative curvature internal spaces.

32 pages; typos corrected, footnote in conclusions section added

References in corpus (6)

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Cited by in corpus (13)

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• Higher Derivative Supergravities in Diverse Dimensions
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• Hyper-Dilaton Weyl Multiplets of 5D and 6D Minimal Conformal Supergravity
• Dualization of Higher Derivative Heterotic Supergravities in $6D$ and $10D$
• Higher derivative couplings of hypermultiplets
• Symmetries of $\mathcal{N}=(1,0)$ supergravity backgrounds in six dimensions
• Dimensional reduction of higher derivative heterotic supergravity
• Spectrum of Higher Derivative 6D Chiral Supergravity
• Dyonic Black Strings and the Charge Lattice in Salam-Sezgin model
• Ghosts in higher derivative Maxwell-Chern-Simon's theory and $\mathcal{P}\mathcal{T}-$symmetry
• Hyper-Dilaton Weyl Multiplet of 4D, $\mathcal{N}=2$ Conformal Supergravity
• ${\alpha }^{\prime }$-corrections to Near Extremal Dyonic Strings and Weak Gravity Conjecture