Hamiltonian analysis of a Green-Schwarz sigma model on a supercoset target with Z4m grading

KE San-Min; YANG Wen-Li; WANG Chun; WANG Zhan-Yun

doi:10.1088/1674-1137/35/11/004

Chinese Physics C> 2011, Vol. 35> Issue(11) : 1004-1008 DOI: 10.1088/1674-1137/35/11/004

Hamiltonian analysis of a Green-Schwarz sigma model on a supercoset target with Z_4m grading

Abstract
HTML
Reference
Related

PDF

Abstract：
We perform a Hamiltonian analysis of the Green-Schwarz sigma model on a supercoset target with Z_4m grading. The fundamental Poisson brackets between the spatial component of the flat currents depending on a continuous parameter, which can be thought of as a first step in the complete calculation of the algebra of the transition matrices, are obtained. When m=1, our results are reduced to the results of the type IIB Green-Schwarz superstring on AdS₅ × S⁵ background obtained by Das, Melikyan and Sato.

References

[1]

Metsaev R R, Tseytlin A A. Nucl. Phys. B, 1998, 533: 109-1262 Roiban R, Siegel W. JHEP, 2000, 0011: 0243 Rahmfeld J, Rajaraman A. Phys. Rev. D, 1999, 60: 0640144 Park J, Rey S. J. JHEP, 1999, 9901: 0015 ZHOU J G. Nucl. Phys. B, 1999, 559: 92-1026 CHEN B, HE Y L, ZHANG P, SONG X C. Phys. Rev. D, 2005, 71: 0860077 Adam I, Dekel A, Mazzucato L, Oz Y. JHEP, 2007, 0706: 0858 Vallilo B C. JHEP, 2004, 0403: 0379 Arutyunov G, Frolov S. JHEP, 2008, 0809: 12910 Stefanski B J. Nucl. Phys. B, 2009, 808: 80-8711 Young C A S. Phys. Lett. B, 2006, 632: 559-56512 Kagan D, Young C A S. Nucl. Phys. B, 2006, 745: 109-12213 Kl uso J. JHEP, 2006, 0610: 04614 KE S M, SHI K J, WANG C, WU S. Chin. Phys. Lett., 2007, 24: 3374-337715 KE S M, SHI K J, WANG C. Int. J. Mod. Phys. A, 2008, 23: 4219-424316 Bena I, Polchinski J, Roiban R . Phys. Rev. D, 2004, 69: 04600217 Das A K, Maharana J, Melikyan A, Sato M. JHEP, 2004, 0412: 05518 Das A K, Melikyan A, Sato M. JHEP, 2005, 0511: 01519 Mikhailov A, Schafer-Nameki S. Nucl. Phys. B, 2008, 802: 1-3920 Magro M. JHEP, 2009, 0901: 02121 Faddeev L D, Takhtajan L A. HAMILTONIAN METHODS IN THE THEORY OF SOLITONS, Springer Verlag, Berlin, 198722 de Vega H J, Eichenherr H, Maillet J M. Commun. Math. Phys., 1984, 92: 507-52423 Izergin A G, Korepin V E. Commun. Math. Phys., 1981, 79: 303-31624 Maillet J M. Nucl. Phys. B, 1986, 269: 54-7625 Maillet J M. Phys. Lett. B, 1986, 167: 401-405

[1]	M. Alekseev , A. Amoroso , R. Baldini Ferroli , I. Balossino , M. Bertani , D. Bettoni , F. Bianchi , J. Chai , G. Cibinetto , F. Cossio , F. De Mori , M. Destefanis , R. Farinelli , L. Fava , G. Felici , I. Garzia , M. Greco , L. Lavezzi , C. Leng , M. Maggiora , A. Mangoni , S. Marcello , G. Mezzadri , S. Pacetti , P. Patteri , A. Rivetti , M. Da Rocha Rolo , M. Savrié , S. Sosio , S. Spataro , L. Yan . A model to explain the angular distribution of $ {{{J /\psi}}} $ and $ {{\psi(2S)}} $ decay into $ {\Lambda \overline{\Lambda}} $ and ${\Sigma^0 \overline{\Sigma^0}} $. Chinese Physics C, 2019, 43(2): 023103. doi: 10.1088/1674-1137/43/2/023103
[2]	Chao-Guang Huang , Shi-Bei Kong . Hamiltonian analysis of 4-dimensional spacetime inBondi-like coordinates. Chinese Physics C, 2018, 42(10): 105101. doi: 10.1088/1674-1137/42/10/105101
[3]	San-Min Ke , Wen-Li Yang , Ke-Xia Jang , Chun Wang , Xue-Min Shuai , Zhan-Yun Wang , Gang Shi . Yang-Baxter deformations of supercoset sigma models with Z_4m grading. Chinese Physics C, 2017, 41(11): 113101. doi: 10.1088/1674-1137/41/11/113101
[4]	LI Cheng-Bo , WEN Qun-Gang , ZHOU Shu-Hua , JIANG Zong-Jun , FU Yuan-Yong , ZHOU Jing , MENG Qiu-Ying , WANG Xiao-Lian . Experimental spectra analysis in THM with the help of simulation based on the Geant4 framework. Chinese Physics C, 2015, 39(5): 054001. doi: 10.1088/1674-1137/39/5/054001
[5]	CHEN Hua-Xing , Shotaro Imai , Hiroshi Toki , GENG Li-Sheng . Study of hadrons using the Gaussian functional method in the O(4) linear σ model. Chinese Physics C, 2015, 39(6): 064103. doi: 10.1088/1674-1137/39/6/064103
[6]	XIE Wei , WANG Ping . Unified Hamiltonian model for mesons and baryons. Chinese Physics C, 2015, 39(5): 053102. doi: 10.1088/1674-1137/39/5/053102
[7]	YANG Jie-Cheng , ZHANG Gao-Long , PANG Dan-Yang . Systematic analysis of fusion barrier heights and positions for proton projectiles using the single folding model. Chinese Physics C, 2014, 38(3): 034101. doi: 10.1088/1674-1137/38/3/034101
[8]	Muhammad Ikram , Zafar Yasin , Warda Iram , Shahida Jabeen . Cascade-exciton model analysis of mass dependence of pion-induced fission. Chinese Physics C, 2014, 38(7): 076101. doi: 10.1088/1674-1137/38/7/076101
[9]	ZHANG Dong-Hai , CHEN Yan-Ling , WANG Guo-Rong , LI Wang-Dong , WANG Qing , YAO Ji-Jie , ZHOU Jian-Guo , ZHENG Su-Hua , XU Li-Ling , MIAO Hui-Feng , WANG Peng . Multiplicity fluctuation analysis of target residues in nucleus-emulsion collisions at a few hundred MeV/nucleon. Chinese Physics C, 2014, 38(7): 074001. doi: 10.1088/1674-1137/38/7/074001
[10]	ZHANG Bin , CHEN Yi-Xue , WANG Wei-Jin , YANG Shou-Hai , WU Jun , YIN Wen , LIANG Tian-Jiao , JIA Xue-Jun . Preliminary shielding analysis in support of the CSNS target station shutter neutron beam stop design. Chinese Physics C, 2011, 35(8): 791-795. doi: 10.1088/1674-1137/35/8/017
[11]	ZHANG Bin , CHEN Yi-Xue , YANG Shou-Hai , WU Jun , YIN Wen , LIANG Tian-Jiao , JIA Xue-Jun . Preliminary shielding analysis for the CSNS target station monolith. Chinese Physics C, 2010, 34(11): 1775-1778. doi: 10.1088/1674-1137/34/11/021
[12]	YU Yi , GUO Jian-You . Solution to the eigenstates of pairing Hamiltonian in finite nuclei. Chinese Physics C, 2009, 33(S1): 134-136. doi: 10.1088/1674-1137/33/S1/042
[13]	T. D. Lee . Model with strong γ₄ T-violation. Chinese Physics C, 2008, 32(12): 939-944. doi: 10.1088/1674-1137/32/12/001
[14]	Chen Xingqu , Xing Zheng . Analysis of Superdeformed Bands in the Particle-Rotor Model. Chinese Physics C, 1994, 18(Z1): 95-102.
[15]	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.
[16]	Zhao Liu . Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Model. Chinese Physics C, 1993, 17(S4): 361-369.
[17]	Lou Senyue , Ni Guangjiong . Variational Analysis of the Gross-Neveu Model at Zero and Finite Temperatures. Chinese Physics C, 1990, 14(S2): 145-153.
[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]	Fan Qinmin , Zhong Ming . The Use of Numerical Calculation in the Analysis of Standardless Thick Target PIXE. Chinese Physics C, 1988, 12(S2): 109-116.
[20]	WAN Ling-De , ZHANG Xin-Min , LU Gong-Ru , XUE Xiao-Zhou . A CONFINING SU(4)×SU(4) COMPOSITE MODEL OF THE WEAK INTERACTIONS. Chinese Physics C, 1986, 10(4): 420-426.

Access

Get Citation

KE San-Min, YANG Wen-Li, WANG Chun and WANG Zhan-Yun. Hamiltonian analysis of a Green-Schwarz sigma model on a supercoset target with Z_4m grading[J]. Chinese Physics C, 2011, 35(11): 1004-1008. doi: 10.1088/1674-1137/35/11/004

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2011-04-12
Revised: 2011-06-13

Article Metric

Article Views(1440)
PDF Downloads(360)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Hamiltonian analysis of a Green-Schwarz sigma model on a supercoset target with Z_4m grading

Received Date: 2011-04-12

Accepted Date: 2011-06-13

Available Online: 2011-11-05

Abstract: We perform a Hamiltonian analysis of the Green-Schwarz sigma model on a supercoset target with Z_4m grading. The fundamental Poisson brackets between the spatial component of the flat currents depending on a continuous parameter, which can be thought of as a first step in the complete calculation of the algebra of the transition matrices, are obtained. When m=1, our results are reduced to the results of the type IIB Green-Schwarz superstring on AdS₅ × S⁵ background obtained by Das, Melikyan and Sato.

HTML

Reference (1)

Hamiltonian analysis of a Green-Schwarz sigma model on a supercoset target with Z_4m grading

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Hamiltonian analysis of a Green-Schwarz sigma model on a supercoset target with Z_4m grading

HTML

目录