1110.5621 (E. I. Buchbinder et al.)

Semiclassical correlators of three states with large S^5 charges in
string theory in AdS_5 x S^5    [PDF]

E. I. Buchbinder, A. A. Tseytlin

We consider semiclassical computation of 3-point correlation functions of
(BPS or non-BPS) string states represented by vertex operators carrying large
charges in S5. We argue that the AdS5 part of the construction of relevant
semiclassical solution involves the two basic ingredients: (i) configuration of
three glued geodesics in AdS2 suggested by Klose and McLoughlin in
arXiv:1106.0495 and (ii) a particular Schwarz-Christoffel map of the 3-geodesic
solution in cylindrical (tau, sigma) domain into the complex plane with three
marked points. This map is constructed using the expression for the AdS2 string
stress tensor which is uniquely determined by the 3 scaling dimensions as noted
by Janik and Wereszczynski in arXiv:1109.6262 (our solution, however, is
different from theirs). We also find the S5 part of the solution and thus the
full expression for the semiclassical part of the 3-point correlator for
several examples: extremal and non-extremal correlators of BPS states and a
particular correlator of "small" circular spinning strings in S3 part of S5. We
demonstrate that for the BPS correlators the results agree with the large
charge limit of the corresponding supergravity and free gauge theory
expressions.

View original: http://arxiv.org/abs/1110.5621