164 research outputs found
Three-point correlators: Examples from Lunin-Maldacena background
Recently there has been progress on the calculation of three-point functions
with two "heavy" operators via semiclassical methods. We extend this analysis
to the case of the Lunin-Maldacena background, and examine the suggested
procedure for several simple string solutions. By making use of AdS/CFT
duality, we derive the relevant correlation functions of operators belonging to
the dual N=1 superconformal gauge theory, and recover an important relation
connecting the dimensions of "heavy" states and the structure constants.Comment: 11 pages, no figures, incorrect subsection removed, typos fixed,
references added and update
On the pulsating strings in Sasaki-Einstein spaces
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.Comment: 9 pages, talk given at the 2nd Int. Conference AMiTaNS, 21-26 June
2010, Sozopol, Bulgaria, organized by EAC (Euro-American Consortium) for
Promoting AMiTaNS, to appear in the Proceedings of 2nd Int. Conference
AMiTaN
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