Pulsating strings with angular momenta

Abstract

We derive the energy of pulsating string, as function of oscillation number and angular momenta, which oscillates in AdS 3 with an extra angular momentum along S 1 . We find similar solutions for the strings oscillating in S 3 in addition to extra angular momentum. Further we generalize the result of the oscillating strings in Anti de-Sitter space in the presence of both spin and angular momentum in AdS 5 × S 1 .

Pulsating strings on (AdS3 × S3) ϰ

“…After putting κ = 0, we can get the energy for the short string which oscillates near the center of AdS 3 with an angular momentum in S 1 in undeformed AdS 3 × S 1 as computed in [55]. With both κ and angular momentum as zero we can get back the energy expression for the strings oscillating in one plane for small energy limit as in the [47].…”

“…Here we wish to study pulsating string solution in the sub sectors of the deformed background as they are more stable than rotating ones [37]. After the inception of the pulsating string in [38], they have been studied both in AdS and non-AdS background [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56].…”

Neumann-Rosochatius system for strings in ABJ model

“…It is obvious that the presence of flux in the background does not affect the conserved charges in the case of a pulsating string. Now expressing the Virasoro constraint(4.9) in terms of E = E √ 2λ and J a = Ja √ 2λ , the oscillation number can be written as [41]…”

On circular strings in (AdS3 × S 3)ϰ

“…In this case it has the most unusual form, 27) Which is a completely new scaling for such long strings and does not reduce to the usual form of oscillation number for AdS strings. The constant a 1 = 0.1516.…”