A Note on Classical String Dynamics on AdS_3

Abstract

We consider bosonic strings propagating on Euclidean adS_3, and study in particular the realization of various worldsheet symmetries. We give a proper definition for the Brown-Henneaux asymptotic target space symmetry, when acting on the string action, and derive the Giveon-Kutasov-Seiberg worldsheet contour integral representation simply by using Noether's theorem. We show that making identifications in the target space is equivalent to the insertion of an (exponentiated) graviton vertex operator carrying the corresponding charge. Finally, we point out an interesting relation between 3D gravity and the dynamics of the worldsheet on adS_3. Both theories are described by an SL(2,C)/SU(2) WZW model, and we prove that the reduction conditions determined on one hand by worldsheet diffeomorphism invariance, and on the other by the Brown-Henneaux boundary conditions, are the same.

26 pages, RevTeX; one minor correction, to appear in Phys. Rev. D

References in corpus (4)

• Large N Field Theories, String Theory and Gravity
• More Comments on String Theory on AdS_3
• U(1) Charges and Moduli in the D1-D5 System
• Multi-Strings on AdS_3 x S^3 from Matrix String Theory

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• Zamolodchikov relations and Liouville hierarchy in SL(2,R)_k WZNW model
• Zamolodchikov operator-valued relations for SL(2,R)_k WZNW model
• The sky is the limit: free boundary conditions in AdS${}_3$ Chern-Simons theory