Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published October 11, 2008 | public
Journal Article

Algebra of transfer-matrices and Yang–Baxter equations on the string worldsheet in AdS_5 × S^5

Abstract

Integrability of the string worldsheet theory in AdS_5 × S^5 is related to the existence of a flat connection depending on the spectral parameter. The transfer matrix is the open-ended Wilson line of this flat connection. We study the product of transfer matrices in the near-flat space expansion of the AdS_5 × S^5 string theory in the pure spinor formalism. The natural operations on Wilson lines with insertions are described in terms of r- and s-matrices satisfying a generalized classical Yang–Baxter equation. The formalism is especially transparent for infinite or closed Wilson lines with simple gauge invariant insertions.

Additional Information

© 2008 Elsevier B.V. Received 18 January 2008; accepted 28 April 2008. Available online 14 May 2008. We thank Jean-Michel Maillet for very interesting discussions. The research of AM is supported by the Sherman Fairchild Fellowship and in part by the RFBR Grant No. 06-02-17383 and in part by the Russian Grant for the support of the scientific schools NSh-8065.2006.2. The research of SSN is supported by a John A. McCone Postdoctoral Fellowship of Caltech. We thank the Isaac Newton Institute, Cambridge, for generous hospitality during the completion of this work.

Additional details

Created:
August 19, 2023
Modified:
October 19, 2023