Extended Superconformal Algebras on AdS_{3}

Abstract

We study a supersymmetric extension of the Virasoro algebra on the boundary of the anti-de Sitter space-time AdS_{3}. Using the free field realization of the currents, we show that the world-sheet affine Lie superalgebras osp(1|2)^{(1)}, sl(1|2)^{(1)} and sl(2|2)^{(1)} provide the boundary N=1,2 and 4 extended superconformal algebras, respectively.

11 pages, latex; a reference added

References in corpus (1)

• Anti-de Sitter/CFT Correspondence in Three-Dimensional Supergravity

Cited by in corpus (20)

• Large N Field Theories, String Theory and Gravity
• String theory on ${\text{AdS}}_3$ and the symmetric orbifold of Liouville theory
• Fundamental Strings, Holography, and Nonlinear Superconformal Algebras
• Maximally $\mathcal{N}$-extended super-BMS${}_3$ algebras and Generalized 3D Gravity Solutions
• Three-dimensional Poincaré supergravity and $\mathcal{N}$-extended supersymmetric BMS${}_3$ algebra
• On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
• New N=2 SuperBMS${}_3$ algebra and Invariant Dual Theory for 3D Supergravity
• Comments on N=4 Superconformal Algebras
• Extended Supersymmetric BMS${}_3$ algebras and Their Free Field Realisations
• Topological String on AdS_3 x N
• Notes on Superconformal Representations in Two Dimensions
• Constructing Classical and Quantum Superconformal Algebras on the Boundary of AdS_3
• The Wess-Zumino Model and the AdS_4/CFT_3 Correspondence
• Unitary Representations of Some Infinite Dimensional Lie Algebras Motivated by String Theory on AdS_3
• A non-reductive N=4 superconformal algebra
• Green-Schwarz Superstrings on AdS_3 and the Boundary N=4 Superconformal Algebra
• Hybrid Superstrings on Singular Calabi-Yau Fourfolds
• String theory in twistor space and minimal tension holography
• A note on Kerr/CFT and free fields
• Conformal symmetry of superstrings on $Ad{S}_3\times S^3\times T^4$ and D1/D5 system