Yang–Baxter sigma models based on the CYBE
It is known that Yang–Baxter sigma models provide a systematic way to study integrable deformations of both principal chiral models and symmetric coset sigma models. In the original proposal and its subsequent development, the deformations have been characterized by classical r-matrices satisfying t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2015-04-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321315000553 |
| _version_ | 1818110029879836672 |
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| author | Takuya Matsumoto Kentaroh Yoshida |
| author_facet | Takuya Matsumoto Kentaroh Yoshida |
| author_sort | Takuya Matsumoto |
| collection | DOAJ |
| description | It is known that Yang–Baxter sigma models provide a systematic way to study integrable deformations of both principal chiral models and symmetric coset sigma models. In the original proposal and its subsequent development, the deformations have been characterized by classical r-matrices satisfying the modified classical Yang–Baxter equation (mCYBE). In this article, we propose the Yang–Baxter sigma models based on the classical Yang–Baxter equations (CYBE) rather than the mCYBE. This generalization enables us to utilize various kinds of solutions of the CYBE to classify integrable deformations. In particular, it is straightforward to realize partial deformations of the target space without loss of the integrability of the parent theory. |
| first_indexed | 2024-12-11T02:40:39Z |
| format | Article |
| id | doaj.art-d0ab0e0d4da1428f9e7012e9ed319470 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-11T02:40:39Z |
| publishDate | 2015-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-d0ab0e0d4da1428f9e7012e9ed3194702022-12-22T01:23:36ZengElsevierNuclear Physics B0550-32132015-04-01893287304Yang–Baxter sigma models based on the CYBETakuya Matsumoto0Kentaroh Yoshida1Institute for Advanced Research and Department of Mathematics, Nagoya University, Nagoya 464-8602, JapanDepartment of Physics, Kyoto University, Kyoto 606-8502, Japan; Corresponding author.It is known that Yang–Baxter sigma models provide a systematic way to study integrable deformations of both principal chiral models and symmetric coset sigma models. In the original proposal and its subsequent development, the deformations have been characterized by classical r-matrices satisfying the modified classical Yang–Baxter equation (mCYBE). In this article, we propose the Yang–Baxter sigma models based on the classical Yang–Baxter equations (CYBE) rather than the mCYBE. This generalization enables us to utilize various kinds of solutions of the CYBE to classify integrable deformations. In particular, it is straightforward to realize partial deformations of the target space without loss of the integrability of the parent theory.http://www.sciencedirect.com/science/article/pii/S0550321315000553 |
| spellingShingle | Takuya Matsumoto Kentaroh Yoshida Yang–Baxter sigma models based on the CYBE Nuclear Physics B |
| title | Yang–Baxter sigma models based on the CYBE |
| title_full | Yang–Baxter sigma models based on the CYBE |
| title_fullStr | Yang–Baxter sigma models based on the CYBE |
| title_full_unstemmed | Yang–Baxter sigma models based on the CYBE |
| title_short | Yang–Baxter sigma models based on the CYBE |
| title_sort | yang baxter sigma models based on the cybe |
| url | http://www.sciencedirect.com/science/article/pii/S0550321315000553 |
| work_keys_str_mv | AT takuyamatsumoto yangbaxtersigmamodelsbasedonthecybe AT kentarohyoshida yangbaxtersigmamodelsbasedonthecybe |