https://doi.org/10.1140/epjc/s10052-022-10422-w
Regular Article - Theoretical Physics
extended 
Chern–Simons 
supergravity with new boundaries
Physics Department, Faculty of Science and Letters, Istanbul Technical University, 34469, Maslak, Istanbul, Turkey
Received:
16
September
2021
Accepted:
10
May
2022
Published online:
23
May
2022
We present the first example of formulation for the extended higher-spin supergravity with the most general boundary conditions as an extension of the 
work, discovered recently by us (Özer and Filiz in Eur Phys J C 80(11):1072, 2020). Using the method proposed by Grumiller and Riegler, we restrict a consistent class of the most general boundary conditions to extend it. An important consequence of our method is that, for the loosest set of boundary conditions it ensures that their asymptotic symmetry algebras consist of two copies of the 
. Moreover, we impose some restrictions on the gauge fields for the most general boundary conditions, leading to the supersymmetric extensions of the Brown and Henneaux boundary conditions. Based on these results, we finally find out that the asymptotic symmetry algebras are two copies of the super 
algebra for extended higher-spin supergravity theory in .
© The Author(s) 2022
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