Possible supersymmetric kinematics

HUANG Chao-Guang; LI Lin

doi:10.1088/1674-1137/39/9/093103

Chinese Physics C> 2015, Vol. 39> Issue(9) : 093103 DOI: 10.1088/1674-1137/39/9/093103

Possible supersymmetric kinematics

HUANG Chao-Guang ^, ,
LI Lin ^,

Abstract
HTML
Reference
Related

PDF

Abstract：
The contraction method in different limits to obtain 22 different realizations of kinematical algebras is applied to study the supersymmetric extension of AdS algebra and its contractions. It is shown that p₂ h_, p', c₂ and g' algebras, in addition to d_, p, n_, g and c algebras, have supersymmetric extension, while n_-2, g₂ and g₂' algebras have no supersymmetric extension. The connections among the superalgebras are established.

References

[1]

Inònü E, Wigner E P. PNAS, 1953, 39: 510-524[2] Bacry H, Lévy-Leblond J. M. J. Math. Phys, 1968, 9: 1605-1614[3] Izmestev A A, Pogosyan G S, Sissakian A N et al. J. Math. Phys., 1999, 40: 1549-1573[4] HUANG C G. Principle of Relativity, 24 Possible Kinematical Algebras and New Geometries with Poincaré Symmetry. In: Luo J, Zhou Z B, Yeh H C et al. Proc. of the 9th Asia-Pacific Int'l. Conf. Singapore: World Scientific, 2010. 118-129[5] HUANG C G, TIAN Y, WU X N et al. Chin. Phys. Lett., 2012, 29: 040303[6] HUANG C G, T Y, WU X N et al. Commun. Theor. Phys., 2012, 57: 553-562[7] GUO H Y, HUANG C G, XU Z et al. Mod. Phys. Lett. A, 2004, 19: 1701-1709[8] GUO H Y, HUANG C G, XU Z et al. Phys. Lett. A, 2004, 331: 1-7[9] HUANG C G, TIAN Y, WU X N et al. Sci. China-Phys. Mech. Astron, 2012, 55: 1978-2003[10] GUO H Y, HUANG C G, WU H T et al. Sci. China-Phys. Mech. Astro, 2010, 53: 591-597[11] Puzalowski R. Acta Phys. Austriaca, 1978, 50: 45-52[12] Clark T E, Love S T. Nucl. Phys. B, 1984, 231: 91-108[13] de Azcárraga J A, Ginestar D. J. Math. Phys, 1991, 32: 3500-3508[14] Hussin V, Negro J. M. A. del Olmo. J. Phys. A: Math. Gen, 1999, 32: 5097-5121[15] Rembielinski J, Tybor W. Acta Physica Polonica B, 1984, 15: 611-615[16] Campoamor-Stursberg R, de Traubenberg M R. Phys. Atomic Nucl, 2010, 73: 264-268[17] Konolpel'chenko B G. JETP Lett., 1975, 21: 287-288[18] Gilmore R. Lie Group, Lie Algebras, and Some of Their Applications. New York: John Wiley Sons Inc., 1974. 446-447[19] Ivanov E A, Sorini A S. J. Phys. A: Math. Gen, 1980, 13: 1159-1188

[1]	Cheng-Wei Chiang , Sichun Sun , Fang Ye . Towards gauge unified, supersymmetric hidden strong dynamics. Chinese Physics C, 2021, 45(1): 013102. doi: 10.1088/1674-1137/abc0ce
[2]	Jun-Quan Tao , M. Aamir Shahzad , Si-Jing Zhang , Chu Wang , Yu-Qiao Shen , Guo-Ming Chen , He-Sheng Chen , S. Gascon-Shotkin , M. Lethuillier , L. Finco , C. Camen . Search for a lighter Higgs boson in the Next-to-Minimal Supersymmetric Standard Model. Chinese Physics C, 2018, 42(10): 103107. doi: 10.1088/1674-1137/42/10/103107
[3]	Wen Yin . Fixed point and anomaly mediation in partial N=2 supersymmetric standard models. Chinese Physics C, 2018, 42(1): 013104. doi: 10.1088/1674-1137/42/1/013104
[4]	Zhen-Bin Cao . Supersymmetric AdS₄ vacua in N=3 gauged supergravity. Chinese Physics C, 2018, 42(5): 053104. doi: 10.1088/1674-1137/42/5/053104
[5]	JIA Lian-Bao , GUO Xing-Dao , JIN Hong-Ying , ZHAO Ming-Gang , LI Xue-Qian . Search for supersymmetric mesinos near production thresholdin terms of super flavor symmetry. Chinese Physics C, 2015, 39(8): 083102. doi: 10.1088/1674-1137/39/8/083102
[6]	FAN Jia-Wei , TAO Jun-Quan , SHEN Yu-Qiao , CHEN Guo-Ming , CHEN He-Sheng , S. Gascon-Shotkin , M. Lethuillier , L. Sgandurra , P. Soulet . Study of diphoton decays of the lightest scalar Higgs boson in the Next-to-Minimal Supersymmetric Standard Model. Chinese Physics C, 2014, 38(7): 073101. doi: 10.1088/1674-1137/38/7/073101
[7]	Farida Tahir , Azeem Mir , Shakeel Mahmood . Study of pure and semileptonic decays of D_s meson within R-parity violating supersymmetric model. Chinese Physics C, 2014, 38(12): 123101. doi: 10.1088/1674-1137/38/12/123101
[8]	PANG Dan-Yang . Effects of relativistic kinematics in heavy ion elastic scattering. Chinese Physics C, 2014, 38(2): 024104. doi: 10.1088/1674-1137/38/2/024104
[9]	CHANG Xue , LIU Chun , MA Feng-Cai , YANG Shuo . Supersymmetric extension of the minimal dark matter model. Chinese Physics C, 2012, 36(9): 810-817. doi: 10.1088/1674-1137/36/9/003
[10]	CHAO Wei . Neutrino masses and lepton-flavor-violating τ decays in the supersymmetric left-right model. Chinese Physics C, 2011, 35(3): 214-222. doi: 10.1088/1674-1137/35/3/002
[11]	LI Xin , CHANG Zhe . Kinematics in Randers-Finsler geometry and secular increase of the astronomical unit. Chinese Physics C, 2011, 35(10): 914-919. doi: 10.1088/1674-1137/35/10/005
[12]	ZHANG Chen-Jun . On two-point boundary correlations of the gl(1\|1) supersymmetric vertex model. Chinese Physics C, 2010, 34(8): 1069-1075. doi: 10.1088/1674-1137/34/8/006
[13]	MO Xiao-Hu . Kinematics of τ two-body decay near τ threshold at BESⅢ. Chinese Physics C, 2010, 34(11): 1671-1679. doi: 10.1088/1674-1137/34/11/001
[14]	XU Yuan-Guo , WANG Ru-Min , YANG Ya-Dong . Supersymmetric contributions to B_s→K^－π⁺ decay. Chinese Physics C, 2010, 34(11): 1687-1692. doi: 10.1088/1674-1137/34/11/003
[15]	Yue Ruihong , Liang Hong . Integrability and Boundary Conditions of Supersymmetric Systems. Chinese Physics C, 1996, 20(6): 514-521.
[16]	Huang Weicheng , Ruan Dong . N=4 Supersymmetric Quantum Mechanics. Chinese Physics C, 1995, 19(9): 812-819.
[17]	Zhao Liu . Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Model. Chinese Physics C, 1993, 17(S4): 361-369.
[18]	Li Fubin . Construction of Creation-Annihilation Operators for Hydrogen Atom and Related Potentials with the Concepts of Supersymmetric Quantum Mechanics. Chinese Physics C, 1992, 16(S2): 173-177.
[19]	MA Bo-Qiang , SUN Ji . RESEARCHES ON THE KINEMATICS MODIFICATION OF THE IMPULSE APPROXIMATION. Chinese Physics C, 1987, 11(3): 430-432.
[20]	Zhang Yuan-zhong , Zhao Zhi-yong . SUPERSYMMETRIC. Chinese Physics C, 1980, 4(3): 390-393.

Access

Get Citation

HUANG Chao-Guang and LI Lin. Possible supersymmetric kinematics[J]. Chinese Physics C, 2015, 39(9): 093103. doi: 10.1088/1674-1137/39/9/093103

HUANG Chao-Guang and LI Lin. Possible supersymmetric kinematics[J]. Chinese Physics C, 2015, 39(9): 093103. doi: 10.1088/1674-1137/39/9/093103 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2014-12-09
Revised: 1900-01-01

Article Metric

Article Views(1845)
PDF Downloads(116)
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

Possible supersymmetric kinematics

Corresponding author: HUANG Chao-Guang,

Corresponding author: LI Lin,

Received Date: 2014-12-09

Accepted Date: 1900-01-01

Available Online: 2015-09-05

Abstract: The contraction method in different limits to obtain 22 different realizations of kinematical algebras is applied to study the supersymmetric extension of AdS algebra and its contractions. It is shown that p₂ h_, p', c₂ and g' algebras, in addition to d_, p, n_, g and c algebras, have supersymmetric extension, while n_-2, g₂ and g₂' algebras have no supersymmetric extension. The connections among the superalgebras are established.

HTML

Reference (1)

Possible supersymmetric kinematics

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article