Boundary Fluctuations of AdS String

Abstract

We analyse the world-sheet perturbations of string theory formulated around $Ad{S}_3$ background. We identify a set of operators that, while added to the world-sheet action, generate the boundary fluctuations of $Ad{S}_3$. The effect of these operators can be collectively defined in terms of Liouville field living on the $Ad{S}_3$ boundary. We then study various deformations of $Ad{S}_3$ generated by boundary fluctuations by turning on suitable world-sheet couplings. We also discuss certain small fluctuations around the BTZ black hole.

10 pages, harvmac, no figure

References in corpus (2)

• The Black Hole in Three Dimensional Space Time
• The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant