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Boundary Fluctuations of AdS String

Sudipta Mukherji·Sudhakar Panda
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Abstract

We analyse the world-sheet perturbations of string theory formulated around $AdS_3$ background. We identify a set of operators that, while added to the world-sheet action, generate the boundary fluctuations of $AdS_3$. The effect of these operators can be collectively defined in terms of Liouville field living on the $AdS_3$ boundary. We then study various deformations of $AdS_3$ generated by boundary fluctuations by turning on suitable world-sheet couplings. We also discuss certain small fluctuations around the BTZ black hole.

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Sudipta Mukherji, Sudhakar Panda. 1998-10-19. Boundary Fluctuations of AdS String. https://doi.org/10.1016/s0370-2693(99)00193-8

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