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

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.

16 pages, LaTex, no figures

References in corpus (6)

• Wrapping interactions at strong coupling -- the giant magnon
• Generating AdS String Solutions
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• Some properties of the Alday-Maldacena minimum
• Conformal SO(2,4) Transformations of the One-Cusp Wilson Loop Surface
• Comment on the Alday-Maldacena solution in calculating scattering amplitude via AdS/CFT