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タイトル: | Yang-Baxter sigma models and Lax pairs arising from κ-Poincaré r-matrices |
著者: | Borowiec, Andrzej Kyono, Hideki Lukierski, Jerzy Sakamoto, Jun ichi Yoshida, Kentaroh |
著者名の別形: | 吉田, 健太郎 |
キーワード: | Integrable Field Theories Non-Commutative Geometry Sigma Models |
発行日: | Apr-2016 |
出版者: | Springer Verlag |
誌名: | Journal of High Energy Physics |
巻: | 2016 |
論文番号: | 79 |
抄録: | Abstract: We study Yang-Baxter sigma models with deformed 4D Minkowski spacetimes arising from classical r-matrices associated with κ-deformations of the Poincaré algebra. These classical κ-Poincaré r-matrices describe three kinds of deformations: 1) the standard deformation, 2) the tachyonic deformation, and 3) the light-cone deformation. For each deformation, the metric and two-form B-field are computed from the associated r-matrix. The first two deformations, related to the modified classical Yang-Baxter equation, lead to T-duals of dS4 and AdS4, respectively. The third deformation, associated with the homogeneous classical Yang-Baxter equation, leads to a time-dependent pp-wave background. Finally, we construct a Lax pair for the generalized κ-Poincaré r-matrix that unifies the three kinds of deformations mentioned above as special cases. |
著作権等: | © 2016, The Author(s). JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0 |
URI: | http://hdl.handle.net/2433/216032 |
DOI(出版社版): | 10.1007/JHEP04(2016)079 |
出現コレクション: | 学術雑誌掲載論文等 |
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