Aspects of quantum integrability for pure spinor superstring in AdS_{5} × S^{5}
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 BRSTclosure for such an operator rules out its existence, implying that the monodromy matrix remains contourindependent 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 UVfiniteness of the curvature tensor finally imply the integrability of the pure spinor superstring at the first order.
 Publication:

Journal of High Energy Physics
 Pub Date:
 September 2008
 DOI:
 10.1088/11266708/2008/09/070
 arXiv:
 arXiv:0808.0282
 Bibcode:
 2008JHEP...09..070P
 Keywords:

 High Energy Physics  Theory
 EPrint:
 44 pages