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arXiv · 0704.3638

Two-loop world-sheet corrections in AdS_5 x S^5 superstring

R. Roiban·A. Tirziu·A. A. Tseytlin
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Abstract

We initiate the computation of the 2-loop quantum AdS_5 x S^5 string corrections on the example of a certain string configuration in S^5 related by an analytic continuation to a folded rotating string in AdS_5 in the ``long string'' limit. The 2-loop term in the energy of the latter should represent the subleading strong-coupling correction to the cusp anomalous dimension and thus provide a further check of recent conjectures about the exact structure of the Bethe ansatz underlying the AdS/CFT duality. We use the conformal gauge and several choices of the κ-symmetry gauge. While we are unable to verify the cancellation of 2d UV divergences we compute the bosonic contribution to the effective action and also determine the non-trivial finite part of the fermionic contribution. Both the bosonic and the fermionic contributions to the string energy happen to be proportional to the Catalan's constant. The resulting value for 2-loop superstring prediction for the subleading coefficient a_2 in the scaling function matches the numerical value found in hep-th/0611135 from the BES equation.

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R. Roiban, A. Tirziu, A. A. Tseytlin. 2007-08-30. Two-loop world-sheet corrections in AdS_5 x S^5 superstring. https://doi.org/10.1088/1126-6708%2F2007%2F07%2F056

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