Boundary Fluctuations of AdS String
Sudipta Mukherji, Sudhakar Panda
TL;DR
This paper investigates boundary fluctuations in AdS3 string theory by analyzing world-sheet perturbations, identifying operators linked to boundary dynamics, and exploring deformations and fluctuations around the BTZ black hole.
Contribution
It introduces a set of operators that generate boundary fluctuations in AdS3 and studies their effects through world-sheet couplings and boundary Liouville fields.
Findings
Operators generate boundary fluctuations in AdS3
Deformations of AdS3 via boundary operators analyzed
Small fluctuations around BTZ black hole discussed
Abstract
We analyse the world-sheet perturbations of string theory formulated around background. We identify a set of operators that, while added to the world-sheet action, generate the boundary fluctuations of . The effect of these operators can be collectively defined in terms of Liouville field living on the boundary. We then study various deformations of 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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