On the pulsating strings in Sasaki-Einstein spaces

Details On the pulsating strings in Sasaki-Einstein spaces On the pulsating strings in Sasaki-Einstein spaces

2010-07-20

arxiv.org/abs/1007.3364v1

AIP Conf.Proc.1301:51-58,2010

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, talk given at the 2nd Int. Conference AMiTaNS, 21-26 June 2010, Sozopol, Bulgaria, organized by EAC (Euro-American Co

Scientific paper

10.1063/1.3526653

We study the class of pulsating strings in AdS_5 x Y^{p,q} and AdS_5 x L^{p,q,r}. Using a generalized ansatz for pulsating string configurations, we find new solutions for this class in terms of Heun functions, and derive the particular case of AdS_5 x T^{1,1}, which was analyzed in arXiv:1006.1539 [hep-th]. Unfortunately, Heun functions are still little studied, and we are not able to quantize the theory quasi-classically and obtain the first corrections to the energy. The latter, due to AdS/CFT correspondence, is supposed to give the anomalous dimensions of operators of the gauge theory dual N=1 superconformal field theory.

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