# Semiclassical four-point functions in AdS5 × S5

@article{Buchbinder2011SemiclassicalFF, title={Semiclassical four-point functions in AdS5 × S5}, author={Evgeny I. Buchbinder and Arkady A. Tseytlin}, journal={Journal of High Energy Physics}, year={2011}, volume={2011}, pages={1-25} }

We consider a semiclassical (large string tension ∼ $ \sqrt {\lambda } $) limit of 4-point correlator of two “heavy” vertex operators with large quantum numbers and two “light” operators. It can be written in a factorized form as a product of two 3-point functions, each given by the integrated “light” vertex operator on the classical string solution determined by the “heavy” operators. We check consistency of this factorization in the case of a correlator with two dilatons as “light” operators…

## 47 Citations

Large spin expansion of semiclassical 3-point correlators in AdS5 × S5

- Physics
- 2011

Abstract3-point correlators in AdS5 × S5 string theory in which two states are “heavy” (have large quantum numbers) and the third is “light” (here chosen as chiral primary scalar) can be computed…

More three-point correlators of giant magnons with finite size

- Mathematics
- 2011

In the framework of the semiclassical approach, we compute the normalized structure constants in three-point correlation functions, when two of the vertex operators correspond to heavy string states,…

Three-point correlators: Finite-size giant magnons and singlet scalar operators on higher string levels

- Physics, Mathematics
- 2012

Holographic three-point functions for short operators

- Physics, Mathematics
- 2012

A bstractWe consider holographic three-point functions for operators dual to short string states at strong coupling in $ \mathcal{N} $ = 4 super Yang-Mills. We treat the states as point-like as they…

Three-point functions of semiclassical string states and conserved currents inAdS4×CP3

- Mathematics
- 2013

In this paper we study the three-point correlation functions of two scalar operators with large conformal dimensions and the $R$-current or stress-energy tensor at strong coupling with the help of…

Correlators of Wilson loops and local operators from multi-matrix models and strings in AdS

- Physics
- 2013

A bstractWe study correlation functions of Wilson loops and local operators in a sub-sector of $ \mathcal{N}=4 $ SYM which preserves two supercharges. Localization arguments allow to map the problem…

Integrability in AdS/CFT: Exacts Results for Correlation Functions

- Mathematics, Physics
- 2012

We report on the first systematic study of correlation functions in N = 4 super Yang-Mills theory using integrability techniques. In particular, we show how to compute threeand fourpoint functions of…

Semiclassical correlators of three states with large S5 charges in string theory in AdS 5×S5

- Mathematics
- 2012

We consider semiclassical computation of 3-point correlation functions of (Bogomol'nyi-Prasad-Sommerfeld [BPS] or non-BPS) string states represented by vertex operators carrying large charges in…

Wave functions and correlation functions for GKP strings from integrability

- Mathematics
- 2012

A bstractWe develop a general method of computing the contribution of the vertex operators to the semi-classical correlation functions of heavy string states, based on the state-operator…

HHL correlators, orbit averaging and form factors

- Physics
- 2014

A bstractWe argue that the conventional method to calculate the OPE coefficients in the strong coupling limit for heavy-heavy-light operators in the N$$ \mathcal{N} $$ = 4 Super-Yang-Mills theory has…

## References

SHOWING 1-10 OF 40 REFERENCES

Large spin expansion of semiclassical 3-point correlators in AdS5 × S5

- Physics
- 2011

Abstract3-point correlators in AdS5 × S5 string theory in which two states are “heavy” (have large quantum numbers) and the third is “light” (here chosen as chiral primary scalar) can be computed…

On semiclassical approximation for correlators of closed string vertex operators in AdS/CFT

- Physics
- 2010

We consider the 2-point function of string vertex operators representing string state with large spin in AdS5. We compute this correlator in the semiclassical approximation and show that it has the…

On semiclassical computation of 3-point functions of closed string vertex operators in $AdS_5 x S^5$

- Physics
- 2010

We consider the leading large string tension correction to correlation functions of three vertex operators of particular massive string states in AdS_5 x S^5 string theory. We assume that two of…

Two and three-point correlators of operators dual to folded string solutions at strong coupling

- Mathematics, Physics
- 2010

A particular analytic continuation of classical string solutions having a single AdS5 spin is considered. These solutions describe strings tunnelling from the boundary to the boundary of AdS5. We use…

Three-point correlation functions from semiclassical circular strings

- Physics
- 2010

The strong-coupling limit of three-point correlation functions of local operators can be analyzed beyond the supergravity regime using vertex operators representing spinning string states. When two…

Energy-spin trajectories in AdS5 × S5 from semiclassical vertex operators

- Physics
- 2010

We study the relation between vertex operators in AdS5 × S5 and classical spinning string solutions. In the limit of large quantum numbers the treatment of vertex operators becomes semiclassical. In…

Holography of Wilson-Loop Expectation Values with Local Operator Insertions

- Physics
- 2006

We study the expectation values of Wilson-loop operators with the insertionsof local operators Z^J and Zbar^J with large R-charge J from the bulk viewpoint of AdS/CFT correspondence. Classical…