N = (2,2) extended sl(3 vertical bar 2) Chern-Simons AdS(3) supergravity with new boundaries

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Özer H. T., Filiz A.

EUROPEAN PHYSICAL JOURNAL C, vol.82, no.5, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 82 Issue: 5
  • Publication Date: 2022
  • Doi Number: 10.1140/epjc/s10052-022-10422-w
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, Communication Abstracts, INSPEC, zbMATH, Directory of Open Access Journals
  • Istanbul Technical University Affiliated: Yes


We present the first example of N = (2, 2) formulation for the extended higher-spin AdS(3) supergravity with the most general boundary conditions as an extension of the N = (1, 1) work, discovered recently by us (Ozer 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 sl(3 vertical bar 2)(k) . 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 W-3 algebra for N = (2, 2) extended higher-spin supergravity theory in AdS(3).