## Abstract

The sigma model describing the dynamics of the superstring in the AdS _{5} ×S ^{5} background can be constructed using the coset PSU(2, 2|4)/SO(4, 1) ×SO(5). A basic set of operators in this two dimensional conformal field theory is composed by the left invariant currents. Since these currents are not (anti) holomorphic, their OPE's is not determined by symmetry principles and its computation should be performed perturbatively. Using the pure spinor sigma model for this background, we compute the one-loop correction to these OPE's. We also compute the OPE's of the left invariant currents with the energy momentum tensor at tree level and one loop.

Original language | English |
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Article number | 26 |

Journal | Journal of High Energy Physics |

Volume | 2010 |

Issue number | 8 |

DOIs | |

Publication status | Published - 2010 |

## Keywords

- AdS-CFT Correspondence
- Conformal Field Models in String Theory

## ASJC Scopus subject areas

- Nuclear and High Energy Physics