On rotating and oscillating four-spin strings in AdS 5 × S 5

Abstract

We study rigidly rotating strings in AdS 5 × S 5 background with one spin along AdS 5 and three angular momenta along S 5 . We find dispersion relations among various charges and interpret them as giant magnon and spiky string solutions in various limits. Further we present an example of oscillating string which oscillates in the radial direction of the AdS 5 and at the same time rotates in S 5 .

Pulsating strings with angular momenta

“…Pulsating string solution was first introduced in [23] and further generalized in [24]- [26]. They have also been studied in AdS 5 × S 5 [27]- [34], AdS 4 × CP 3 [35]- [36] and other backgrounds [37]- [40]. Pulsating strings concept was first introduced in [27] where they were expected to correspond to certain highly excited sigma model operators.…”

“…Strings spinning in S 5 where as pulsating in AdS and spinning in AdS where as pulsating in S 5 have been described in [28]. Recently pulsating string solution in the less supersymmetric Lunin-Maldacena background has been studied in [40] and dispersion relation for the string oscillating in S 5 with a constant ρ value in AdS 5 has been found out in [34]. As oscillation number is adiabatic invariant, the relation between energy and oscillation number is presented as the solutions to characterize the string dynamics.…”

Tunnelling of pulsating strings in deformed Minkowski spacetime

“…There is a class of string configurations, pulsating strings, which has not received much attention since its dual operator is not completely understood. They have been analyzed in AdS 5 × S 5 [17][18][19][20][21][22][23][24][25][26][27], AdS 4 × CP 3 [28,29] and other backgrounds [30][31][32][33][34][35][36][37], and more recently they have been studied in the deformed case as well [38]. Since the string presents a periodic motion its dynamics can be characterized by its oscillation number.…”