On Affine Lie Superalgebras, AdS_3/CFT Correspondence And World-Sheets For World-Sheets

Abstract

Space-time N=2 and N=4 superconformal algebras can be built using world-sheet free fields or, equivalently, free field representations of osp(1|2) and sl(2|1), respectively. A prescription for the calculation of space-time correlators is given. As applications we compute one and two-point correlation functions of Virasoro (superVirasoro) generators. We also present a possible scenario for taking into account of NS fivebranes in the framework of our construction for description of superstring on AdS_3. It is nothing but a simplified version of Green's ``world-sheets for world-sheets''.

LaTeX2e, 19 pages, 2 Postscript figures

References in corpus (4)

• Gauge Theory Correlators from Non-Critical String Theory
• Free Field Realizations of Affine Current Superalgebras, Screening Currents and Primary Fields
• Matrix Models of AdS Gravity
• Comments on String Theory on $Ad{S}_3$

Cited by in corpus (15)

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• String theory on ${\text{AdS}}_3$ and the symmetric orbifold of Liouville theory
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• Remarks on free field realization of SL(2,R)/U(1) x U(1) WZNW model
• Comments on N=4 Superconformal Algebras
• Topological String on AdS_3 x N
• One-loop amplitudes of winding strings in AdS${}_3$ and the Coulomb gas approach
• A Note on Classical String Dynamics on AdS_3
• Constructing Classical and Quantum Superconformal Algebras on the Boundary of AdS_3
• A note on Kerr/CFT and free fields
• Hybrid Superstrings on Singular Calabi-Yau Fourfolds
• Probing AdS/CFT correspondence via world-sheet methods and 2d gravity like scaling arguments
• Conformal symmetry of superstrings on $Ad{S}_3\times S^3\times T^4$ and D1/D5 system
• Superconformal Algebras in Light-cone Gauge Quantization of String Theories on $AdS_3