A Note on Classical String Dynamics on AdS_3

Details A Note on Classical String Dynamics on AdS_3 A Note on Classical String Dynamics on AdS_3

1999-06-24

arxiv.org/abs/hep-th/9906191v3

Phys.Rev. D60 (1999) 126004

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.60.126004

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.

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