Aspects of quantum integrability for pure spinor superstring in AdS 5 × S 5

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Abstract

We consider the monodromy matrix for the pure spinor IIB superstring on AdS 5 × S 5 at leading order at strong coupling, in particular its variation under an infinitesimal and continuous deformation of the contour. Such variation is equivalent to the insertion of a local operator. Demanding the BRST-closure for such an operator rules out its existence, implying that the monodromy matrix remains contour-independent at the first order in perturbation theory. Furthermore we explicitly compute the field strength corresponding to the flat connections up to leading order and directly check that it is free from logarithmic divergences. The absence of anomaly in the coordinate transformation of the monodromy matrix and the UV-finiteness of the curvature tensor finally imply the integrability of the pure spinor superstring at the first order.

Original languageEnglish
Article number070
JournalJournal of High Energy Physics
Volume2008
Issue number9
DOIs
Publication statusPublished - 1 Sep 2008

Other keywords

  • AdS-CFT correspondence
  • Anomalies in field and string theories
  • Superstrings and heterotic strings

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