| DATE: |
2008-07-15 11:00 - 12:00 |
| PLACE: |
Kenkyu Honkan 2F RM 220 |
| TITLE: |
An Exceptional Algebraic Origin of the AdS/CFT Yangian Symmetry |
| CONTACT: |
tsuda |
| SPEAKER: |
Dr. Sanefumi Moriyama (Nagoya University) |
| LANGUAGE: |
English |
| ABSTRACT: |
In the su(2|2) spin chain motivated by the AdS/CFT correspondence, a novel symmetry extending the superalgebra su(2|2) into u(2|2) was found. We pursue the origin of this symmetry in the exceptional superalgebra d(2,1;ŠĆ), which recovers su(2|2) when the parameter ŠĆ is taken to zero. Especially, we rederive the Yangian symmetries of the AdS/CFT spin chain using the exceptional superalgebra and find that the ŠĆ-correction corresponds to the novel symmetry. Also, we reproduce the non-canonical classical r-matrix of the AdS/CFT spin chain expressed with this symmetry from the canonical one of the exceptional algebra. |
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