Conformal SO(2,4) Transformations for the Helical AdS String Solution

TL;DR

This paper applies conformal SO(2,4) transformations to known string solutions in AdS space to generate new solutions with specific energy-spin relations, enhancing understanding of string dynamics in AdS/CFT correspondence.

Contribution

It introduces a method to generate new string solutions in AdS space by applying conformal SO(2,4) transformations to existing configurations, revealing relations between different string solutions.

Findings

Generated long spiky string solutions from folded rotating strings.

Established energy-spin relations characterized by boost parameters.

Connected helical string solutions to long string limits.

Abstract

By applying the conformal SO(2,4) transformations to the folded rotating string configuration with two spins given by a certain limit from the helical string solution in AdS_3 x S^1, we construct new string solutions whose energy-spin relations are characterized by the boost parameter. When two SO(2,4) transformations are performed with two boost parameters suitably chosen, the straight folded rotating string solution with one spin in AdS_3 is transformed in the long string limit into the long spiky string solution whose expression is given from the helical string solution in AdS_3 by making a limit that the modulus parameter becomes unity.