Yuji Satoh

Three-point functions and operator product expansion in the SL(2) conformal field theory

Abstract In the SL(2) conformal field theory, we write down and analyze the analytic expression of the three-point functions of generic primary fields with definite SL(2) weights. Using these results, we discuss the operator product expansion in the SL(2,R) WZW model. We propose a prescription of the OPE, the classical limit of which is in precise agreement with the tensor products of the representations of SL(2,R).

Path integral approach to string theory on AdS3

Using the path integral approach, we discuss the correlation functions of the

Free field approach to string theory on AdS3

SL(2,\bfC)/SU(2)

Thermodynamic Bethe ansatz equations for minimal surfaces in AdS3

WZW model, which corresponds to the string theory on the Euclidean

Entanglement through conformal interfaces

AdS_3

Penrose limits and Green–Schwarz strings

. We obtain the two- and three-point functions for generic primary fields in closed forms. By an appropriate change of the normalization of the primary fields, our results coincide with those by Teschner, which were obtained by using the bootstrap approach. The supergravity results are also obtained in the semi-classical limit.

Six-point gluon scattering amplitudes from \mathbbZ4 {\mathbb{Z}_4} -symmetric integrable model

Abstract We discuss the correlation functions of the SL(2, C )/SU(2) WZW model, or the CFT on the Euclidean AdS 3 . We argue that their calculation is reduced to that of a free theory by taking into account the renormalization and integrating out a certain zero-mode, which is an analog of the zero-mode integration in Liouville theory. Based on the resultant free field picture, we give a simple prescription for calculating the correlation functions. The known exact two- and three-point functions of generic primary fields are correctly obtained, including numerical factors. We also obtain some four-point functions of primaries by solving the Knizhnik–Zamolodchikov equation, and verify that our prescription indeed gives them.

A note on string solutions in AdS3

We study classical open string solutions with a null polygonal boundary in AdS3 in relation to gluon scattering amplitudes in

Operator product expansion in SL(2) conformal field theory

\mathcal{N} = 4