Yang-Baxter deformations of supercoset sigma models with Z4m grading

  • We have studied Yang-Baxter deformations of supercoset sigma models with Z4m grading. The deformations are specified by a skew-symmetric classical r-matrix satisfying the classical Yang-Baxter equations. The deformed action is constructed and the Lax pair is also presented. When m=1, our results reduce to those of the type ⅡB Green-Schwarz superstring on AdS5×S5 background recently given by Kawaguchi, Matsumoto and Yoshida.
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San-Min Ke, Wen-Li Yang, Ke-Xia Jang, Chun Wang, Xue-Min Shuai, Zhan-Yun Wang and Gang Shi. Yang-Baxter deformations of supercoset sigma models with Z4m grading[J]. Chinese Physics C, 2017, 41(11): 113101. doi: 10.1088/1674-1137/41/11/113101
San-Min Ke, Wen-Li Yang, Ke-Xia Jang, Chun Wang, Xue-Min Shuai, Zhan-Yun Wang and Gang Shi. Yang-Baxter deformations of supercoset sigma models with Z4m grading[J]. Chinese Physics C, 2017, 41(11): 113101.  doi: 10.1088/1674-1137/41/11/113101 shu
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Received: 2017-07-04
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    Supported by National Natural Science Foundation of China (11375141, 11425522, 11547050), Natural Science Foundation of Shaanxi Province (2013JQ1011, 2017ZDJC-32, 2016JM1027), Special Foundation for Basic Scientific Research of Central Colleges (310812152001, 310812172001, 2013G1121082, CHD2012JC019), Scientific Research Program Funded by Shaanxi Provincial Education Department (2013JK0628), Xi'an Shiyou University Science and Technology Foundation (2010QN018) and partly supported by the Basic Research Foundation of Engineering University of CAPF (WJY-201506)

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Yang-Baxter deformations of supercoset sigma models with Z4m grading

    Corresponding author: San-Min Ke,
  • 1.  College of Science, Chang'an University, Xi'an 710064, China
  • 2. Institute of Modern Physics, Northwest University, Xi'an 710069, China
  • 3. Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710069, China
  • 4.  Department of Physics, Engineering College of CAPF, Xi'an 710086, China
  • 5.  College of Science, Xi'an Shiyou University, Xi'an 710065, China
  • 6.  School of telecom, Xi'an University of Posts &
Fund Project:  Supported by National Natural Science Foundation of China (11375141, 11425522, 11547050), Natural Science Foundation of Shaanxi Province (2013JQ1011, 2017ZDJC-32, 2016JM1027), Special Foundation for Basic Scientific Research of Central Colleges (310812152001, 310812172001, 2013G1121082, CHD2012JC019), Scientific Research Program Funded by Shaanxi Provincial Education Department (2013JK0628), Xi'an Shiyou University Science and Technology Foundation (2010QN018) and partly supported by the Basic Research Foundation of Engineering University of CAPF (WJY-201506)

Abstract: We have studied Yang-Baxter deformations of supercoset sigma models with Z4m grading. The deformations are specified by a skew-symmetric classical r-matrix satisfying the classical Yang-Baxter equations. The deformed action is constructed and the Lax pair is also presented. When m=1, our results reduce to those of the type ⅡB Green-Schwarz superstring on AdS5×S5 background recently given by Kawaguchi, Matsumoto and Yoshida.

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