Anti-de Sitter D-brane dynamics
J. Kluson, and Kamal L. Panigrahi

TL;DR
This paper investigates the dynamics of D-branes in Anti-de Sitter space using Hamiltonian methods, deriving solutions and relating them to open string tachyon behavior.
Contribution
It introduces a Hamiltonian framework for AdS D-brane dynamics and provides explicit space-time solutions, linking brane evolution to open string tachyon dynamics.
Findings
Derived explicit solutions for D1-brane in AdS3
Mapped D-brane dynamics to open string tachyon problem
Analyzed time-dependent behavior of branes
Abstract
We study the anti-de Sitter D-brane dynamics in Hamiltonian formulation. By exploiting the existence of certain conserved charges, we solve the equation of motion for a D1-brane in the AdS3 background and find the space-time dependent solutions. We further study the dynamics by mapping the problem to that of the open string tachyon, and examine the time dependent solutions in some detail.
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