Classical string correspondence in $2$ and $3$ spacetime dimensions

Abstract

We present an example of the string correspondence: a relation between two classical string solutions - one in Minkowski spacetime and another one in the AdS spacetime. The first solution describes a $2$d motion of the string with massive ends and was derived in (https://doi.org/10.1103/PhysRevD.13.2364). The second solution is the accelerating string solution in the $\textrm{AdS}_3$ spacetime and describes a heavy quark-antiquark pair (arXiv:0804.1343).