Pulsating Strings onAdS₅ S⁵

Abstract

We find the anomalous dimension and the conserved charges of an R-charged string pulsating on AdS 5 . The analysis is performed both on the gauge and string side, where we find agreement at the one-loop level. Furthermore, the solution is shown to be related by analytic continuation to a string which is pulsating on S 5 , thus providing an example of the close relationship between the respective isometry groups.

Pulsating strings on (AdS3 × S3) ϰ

“…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].…”

The SU(2) sector in AdS/CFT

“…This program has met with apparent success in the BMN limit [12,13,14], where the operators are very close to being BPS. It has also been successful, to a point, in the long wave-length limit, where the eigenvalues of the dilatation operator have been shown to match the string predictions at the one-loop level [15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40], and in some cases up to two loop order [42,24,43,44,45], although there is a mismatch at three loop order [46,42,47,44]. Both the BMN limit and the long wave-length limit can be treated using a semiclassical analysis [48,49], with expansion parameter λ/L 2 , where λ is the 't Hooft parameter and quantum corrections are suppressed by 1/L.…”

On circular strings in (AdS3 × S 3)ϰ

“…We note that the momenta associated to the coordinate χ has an expression 21) so that the χ equation of motion can be written in the 'particle in a potential' form…”