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On the Supersymmetric Extension of Gauss-Bonnet like Gravity

arXiv:1607.00373 · doi:10.1007/JHEP09(2016)007

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