Gauss-Bonnet supergravity in six dimensions

Abstract

The supersymmetrization of curvature squared terms is important in the study of the low-energy limit of compactified superstrings where a distinguished role is played by the Gauss-Bonnet combination, which is ghost-free. In this letter, we construct its off-shell $\mathcal{N}=(1,0)$ supersymmetrization in six dimensions for the first time. By studying this invariant together with the supersymmetric Einstein-Hilbert term we confirm and extend known results of the ${\alpha }^{\prime }$-corrected string theory compactified to six dimensions. Finally, we analyze the spectrum about the ${\mathrm{AdS}}_3\times {\mathrm{S}}^3$ solution.

5 pages; V2: minor corrections, revised version for publication in PRL

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Cited by in corpus (21)

• Curvature squared invariants in six-dimensional $\mathcal{N}=(1,0)$ supergravity
• Higher Derivative Supergravities in Diverse Dimensions
• On curvature-squared invariants of minimal five-dimensional supergravity from superspace
• Superradiance of charged black holes in Einstein-Gauss-Bonnet Gravity
• Hyper-Dilaton Weyl Multiplets of 5D and 6D Minimal Conformal Supergravity
• Improved Wald formalism and First Law of Dyonic Black Strings with Mixed Chern-Simons Terms
• Negative Corrections to Black Hole Entropy from String Theory
• Dualization of Higher Derivative Heterotic Supergravities in $6D$ and $10D$
• Dimensional reduction of higher derivative heterotic supergravity
• Symmetries of $\mathcal{N}=(1,0)$ supergravity backgrounds in six dimensions
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• Off-shell invariants of linearized $4D,\mathcal{N}=2$ supergravity in the harmonic approach
• Force-free higher derivative Einstein-Maxwell theory and multi-centered black holes
• Dyonic Black Strings and the Charge Lattice in Salam-Sezgin model
• Avoiding Big Rip Singularities in Phantom Scalar Field theory with Gauss-Bonnet term
• Off-Shell $\mathcal{N}=(1,0)$ Linear Multiplets in Six Dimensions
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• Hyper-Dilaton Weyl Multiplet of 4D, $\mathcal{N}=2$ Conformal Supergravity