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29 March 2024
 
  » arxiv » 1003.0701

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Quantum Current Algebra for the $AdS_5 imes S^5$ Superstring
Oscar A. Bedoya ; Dafni Z. Marchioro ; Daniel L. Nedel ; Brenno Carlini Vallilo ;
Date 2 Mar 2010
AbstractThe sigma model describing the dynamics of the superstring in the $AdS_5 imes S^5$ background can be constructed using the coset $PSU(2,2|4)/SO(4,1) imes SO(5)$. 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.
Source arXiv, 1003.0701
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