https://doi.org/10.1140/epjc/s10052-020-08613-4
Regular Article – Theoretical Physics
Exploring new boundary conditions for $$\mathcal {N}=(1,1)$$ extended higher-spin $$AdS_3$$ supergravity
Faculty of Science and Letters, Physics Department, Istanbul Technical University, 34469, Maslak, Istanbul, Turkey
* e-mail: ozert@itu.edu.tr
Received:
28
July
2020
Accepted:
28
October
2020
Published online:
20
November
2020
In this paper, we present a candidate for $$\mathcal {N}=(1,1)$$ extended higher-spin $$AdS_3$$ supergravity with the most general boundary conditions discussed by Grumiller and Riegler recently. We show that the asymptotic symmetry algebra consists of two copies of the $$\mathfrak {osp}(3|2)_k$$ affine algebra in the presence of the most general boundary conditions. Furthermore, we impose some certain restrictions on gauge fields on the most general boundary conditions and that leads us to the supersymmetric extension of the Brown–Henneaux boundary conditions. We eventually see that the asymptotic symmetry algebra reduces to two copies of the $$\mathcal {SW}(\frac{3}{2},2)$$ algebra for $$\mathcal {N}=(1,1)$$ extended higher-spin supergravity.
© The Author(s), 2020
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3
