Yang-Baxter deformations of supercoset sigma models with Z<sub>4<em>m</em></sub> grading

San-Min Ke; Wen-Li Yang; Ke-Xia Jang; Chun Wang; Xue-Min Shuai; Zhan-Yun Wang; Gang Shi

doi:10.1088/1674-1137/41/11/113101

Chinese Physics C> 2017, Vol. 41> Issue(11) : 113101 DOI: 10.1088/1674-1137/41/11/113101

Yang-Baxter deformations of supercoset sigma models with Z_4m grading

San-Min Ke ^1,, ,
Wen-Li Yang ^2,3 ,
Ke-Xia Jang ⁴ ,
Chun Wang ⁵ ,
Xue-Min Shuai ¹ ,
Zhan-Yun Wang ⁶ ,
Gang Shi ¹

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 &

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Abstract：
We have studied Yang-Baxter deformations of supercoset sigma models with Z_4m 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.
- sigma model ,
- supercoset target ,
- Yang-Baxter deformation ,
- Lax pair

References

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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 Z_4m grading[J]. Chinese Physics C, 2017, 41(11): 113101. doi: 10.1088/1674-1137/41/11/113101

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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 Z_4m grading

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Yang-Baxter deformations of supercoset sigma models with Z4m grading

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Yang-Baxter deformations of supercoset sigma models with Z4m grading

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Yang-Baxter deformations of supercoset sigma models with Z_4m grading

Yang-Baxter deformations of supercoset sigma models with Z_4m grading