On the Supersymmetric Extension of Gauss-Bonnet like Gravity

Abstract

We explore the supersymmetry invariance of a supergravity theory in the presence of a non-trivial boundary. The explicit construction of a bulk Lagrangian based on an enlarged superalgebra, known as $AdS$-Lorentz, is presented. Using a geometric approach we show that the supersymmetric extension of a Gauss-Bonnet like gravity is required in order to restore the supersymmetry invariance of the theory.

v4, 13 pages, version accepted for publication in JHEP

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• $\mathcal{N}$-extended Maxwell supergravities as Chern-Simons theories in three spacetime dimensions
• Inönü-Wigner Contraction and $D=2+1$ Supergravity
• An Analytic Method for $S$-Expansion involving Resonance and Reduction
• Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in three spacetime dimensions
• Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant