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

[1]	R. R. Metsaev and A. A. Tseytlin, Nucl. Phys. B, 533:109(1998)
[2]	R. Roiban and W. Siegel, JHEP, 0011:024(2000)
[3]	J. Rahmfeld and A. Rajaraman, Phys. Rev. D, 60:064014(1999)
[4]	J. Park and S. J. Rey, JHEP, 9901:001(1999)
[5]	J. G. Zhou, Nucl. Phys. B, 559:92(1999)
[6]	B. Chen, Y. L. He, P. Zhang et al, Phys. Rev. D, 71:086007(2005)
[7]	I. Adam, A. Dekel, L. Mazzucato et al, JHEP, 0706:085(2007)
[8]	G. Arutyunov and S. Frolov, JHEP, 0809:129(2008)
[9]	B. J. Stefanski, Nucl. Phys. B, 808:80(2009)
[10]	I. Bena, J. Polchinski, and R. Roiban, Phys. Rev. D, 69:046002(2004)
[11]	B. C. Vallilo, JHEP, 0403:037(2004)
[12]	A. Mikhailov and S. Schfer-Nameki, Nucl. Phys. B, 802:1(2008)
[13]	M. Magro, JHEP, 0901:021(2009)
[14]	C. Klimcik, JHEP, 0212:051 (2002); J. Math. Phys., 50:043508 (2009); Lett. Math. Phys., 104:1095 (2014)
[15]	F. Delduc, M. Magro, and B. Vicedo, JHEP, 1311:192 (2013)
[16]	F. Delduc, M. Magro, and B. Vicedo, Phys. Rev. Lett., 112:051601 (2014)
[17]	F. Delduc, M. Magro, and B. Vicedo, JHEP, 1410:132 (2014)
[18]	G. Arutyunov, R. Borsato, and S.Frolov, JHEP, 1404:002 (2014)
[19]	G. Arutyunov, R. Borsato, and S. Frolov, JHEP, 1512:049 (2015); B. Hoare and A. A. Tseytlin, JHEP, 1510:060 (2015)
[20]	B. Hoare, R. Roiban, and A. A. Tseytlin, JHEP, 1406:002 (2014)
[21]	G. Arutynov, M. de Leeuw, and S. J. van Tongeren, Theor. Math. Phys., 182:23 (2015)
[22]	C. Ahn and P. Bozhilov, Phys. Lett. B, 737:293 (2014)
[23]	G. Arutyunov and D. Medina-Rincon, JHEP, 1410:050 (2014); T. Kameyama and K. Yoshida, arXiv:1408.2189[hepth]
[24]	I. Kawaguchi, T. Matsumoto, and K. Yoshida, JHEP, 1404:153 (2014)
[25]	I. Kawaguchi, T. Matsumoto, and K. Yoshida, JHEP, 1406:146 (2014)
[26]	H. Kyono, J. of Phys.:Conf. Series, 804:012026 (2017); H. Kyono and K. Yoshida, arXiv:1605.02519[hep-th]
[27]	T. Matsumoto and K. Yoshida, Nucl. Phys. B, 893:287 (2015)
[28]	T. Matsumoto and K. Yoshida, JHEP, 1406:135 (2014)
[29]	T. Matsumoto and K. Yoshida, JHEP, 1406:163 (2014)
[30]	T. Matsumoto and K. Yoshida, JHEP, 1503:137 (2015)
[31]	T. Matsumoto and K. Yoshida, JHEP, 1504:180 (2015)
[32]	S. J. van Tongeren, JHEP, 1506:048 (2015); S. J. van Tongeren, Nucl. Phys. B, 904:148 (2016)
[33]	T. Kameyama, H. Kyono, J. Sakamoto et al, JHEP, 1511:043 (2015)
[34]	T. Matsumoto, D. Orlando, S. Reffert et al, JHEP, 1510:185 (2015)
[35]	A. Borowiec, H. Kyono, J. Lukierski et al, JHEP, 1604:079 (2016)
[36]	C. A. S. Young, Phys. Lett. B, 632:559 (2006)
[37]	D. Kagan and C. A. S. Young, Nucl. Phys. B, 745:109 (2006)
[38]	J. Klusoň,JHEP, 0610:046 (2006)
[39]	S. M. Ke, K. J. Shi, and C Wang, Int. J. Mod. Phys. A, 23:4219 (2008)
[40]	S. M. Ke, W. L. Yang, C. wang et al, J. Math. Phys., 52:083511 (2011)

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[11]	Zhang Jun , Guo Hanying , Yan Hong . Knitting Ansatz and Solutions to Yang-Baxter Equation. Chinese Physics C, 1997, 21(8): 714-719.
[12]	Hu Zhanning , Hou Boyu . The Integrability Condition of Three-Dimensional Exactly Solvable Model-Baxter-Bazhanov Model in Statistical Mechanics. Chinese Physics C, 1995, 19(2): 123-130.
[13]	Hu Zhanning , Hou Boyu . Integrability Conditions of the Three-dimensional Exactly Solved Model-Baxter-Bazhanov Model in Statistical Mechanics. Chinese Physics C, 1995, 19(S2): 143-150.
[14]	Wang Yanshen , Hou Boyu . Poisson-Lie Structure of 0(n) Non-Linear Sigma Model in Moving Frames. Chinese Physics C, 1994, 18(S4): 345-355.
[15]	Zhao Liu . Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Model. Chinese Physics C, 1993, 17(S4): 361-369.
[16]	Gao Yonghua , He Zhenmin , Huang Ruiwang , Peng Hong'an . The Influence of Nuclear Target on “Small” Mass Lepton Pair Production of High Energy Hadron-Nuclei Collision. Chinese Physics C, 1992, 16(S3): 281-289.
[17]	Yu Youwen , Shen Pengnian . The Effective Two-Meson-Exchange Potential Derived From the Quark-Antiquark Pair Creation Model. Chinese Physics C, 1989, 13(S2): 175-180.
[18]	Chen Tianlun . β Function for the 0(3) Sigma Model on 2-Dimensional Random Triangle Lattice. Chinese Physics C, 1989, 13(S4): 393-398.
[19]	Ding Linkai , Chi Xinyu , Zhu Qingqi , Jing Caiiiu , Jing Guiru . A Monte-Carlo Generator of Chou-Yang Geometrical Model. Chinese Physics C, 1988, 12(S4): 329-336.
[20]	Yu Youwen , Sheri Pengnian . Studies of ρ and K^* Mesons Decay by the One-Gluon-Exchange Quark-Antiquark Pair Creation Model. Chinese Physics C, 1988, 12(S1): 55-58.

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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