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  The Classical r-Matrix of AdS/CFT and its Lie Bialgebra Structure

Beisert, N., & Spill, F. (2009). The Classical r-Matrix of AdS/CFT and its Lie Bialgebra Structure. Communications in Mathematical Physics, 285(2), 537-565. doi:10.1007/s00220-008-0578-2.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-14A3-B Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-14A6-5
Genre: Journal Article

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CommMathPhys285-537.pdf (Publisher version), 409KB
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Beisert, Niklas1, Author
Spill, Fabian2, Author
Affiliations:
1Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24016              
2External Organizations, Institut für Physik, Humboldt-Universität zu Berlin, Newtonstraße 15, D-12489 Berlin, Germany, ou_persistent22              

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 Abstract: In this paper we investigate the algebraic structure of AdS/CFT in the strong-coupling limit. We propose an expression for the classical r-matrix with (deformed) $${\mathfrak{u}(2|2)}$$ symmetry, which leads to a quasi-triangular Lie bialgebra as the underlying symmetry algebra. On the fundamental representation our r-matrix coincides with the classical limit of the quantum R-matrix.

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 Dates: 2008-07-232009-01
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: DOI: 10.1007/s00220-008-0578-2
arXiv: 0708.1762
eDoc: 399861
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Title: Communications in Mathematical Physics
Source Genre: Journal
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Pages: - Volume / Issue: 285 (2) Sequence Number: - Start / End Page: 537 - 565 Identifier: ISSN: 0010-3616