Worldsheet four-point functions in AdS3/CFT2
We calculate some extremal and non-extremal four-point functions on the sphere of certain chiral primary operators for strings on AdS 3×S3×T4. The computation is done for small values of the spacetime cross-ratio where global SL(2) and SU(2) descendants may be neglected in the intermediate channel....
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| Autores principales: | , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_11266708_v2011_n1_p_Cardona |
| Aporte de: |
| Sumario: | We calculate some extremal and non-extremal four-point functions on the sphere of certain chiral primary operators for strings on AdS 3×S3×T4. The computation is done for small values of the spacetime cross-ratio where global SL(2) and SU(2) descendants may be neglected in the intermediate channel. Ignoring also current algebra descendants, we find that in the non-extremal case the integrated worldsheet correlators factorize into spacetime three-point functions, which is non-trivial due to the integration over the moduli space. We then restrict to the extremal case and compare our results with the four-point correlators recently computed in the dual boundary theory. We also discuss a particular non-extremal correlator involving two chiral and two anti-chiral operators. |
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