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

Mikhailov, Andrei and Schäfer-Nameki, Sakura (2008) Algebra of transfer-matrices and Yang–Baxter equations on the string worldsheet in AdS_5 × S^5. Nuclear Physics B, 802 (1-2). pp. 1-39. ISSN 0550-3213. doi:10.1016/j.nuclphysb.2008.04.029. https://resolver.caltech.edu/CaltechAUTHORS:20091015-142617452

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.nuclphysb.2008.04.029DOIUNSPECIFIED
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.
Funders:
Funding AgencyGrant Number
Sherman Fairchild FellowshipUNSPECIFIED
Russian Grant for the support of the scientific schoolsNSh-8065.2006.2
John A. McCone Postdoctoral Fellowship of CaltechUNSPECIFIED
RFBR06-02-17383
Issue or Number:1-2
DOI:10.1016/j.nuclphysb.2008.04.029
Record Number:CaltechAUTHORS:20091015-142617452
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20091015-142617452
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:16356
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:19 Oct 2009 17:14
Last Modified:08 Nov 2021 23:26

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