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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 | Abstract: | The 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 | Services: | Forum | Review | PDF | Favorites |
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