N = 4 Superconformal Quantum Mechanics in One Dimension and Its Algebraic Structure
N = 4 Superconformal Quantum Mechanics in One Dimension and Its Algebraic Structure
摘要
N = 4 superconformal quantum mechanics of nonrelativistic particles in the typical 1/x2-potentials, which holds not only supersymmetry but also dynamical conformal symmetry, is studied. The corresponding superconformal quantum mechanical algebra, which contains supersymmetric quantum mechanical algebra with four supercharges and conformal algebra as subalgebras, and its two canonical group chains are established.
基金
国家自然科学基金,国家重点基础研究发展计划(973计划),清华大学校科研和教改项目
参考文献15
-
1[1]E. Witten, Nucl. Phys. B202 (1982) 253.
-
2[2]F. Cooper, A. Khare, et al., Phys. Rep. 251 (1995) 267.
-
3[3]V.G. Kac, Adv. Math. 26 (1977) 8.
-
4[4]A.B. Balantekin, Phys. Rev. A57 (1998) 4418.
-
5[5]C.P. SUN and W. LI, Commun. Theor. Phys. (Beijing,China) 19 (1993) 191; G. Junker and P. Roy, Phys.Lett. A257 (1999) 113; D. RUAN, X.J. WANG, W.C.HUANG, and H.Z. SUN, Commun. Theor. Phys. (Beijing, China) 36 (2001) 25.
-
6[6]M. De Crombrugghe and V. Rittenberg, Ann. Phys.(N.Y.) 51 (1983) 99.
-
7[7]S. Fubini and E. Rabinovici, Nucl. Phys. B245 (1984) 17.
-
8[8]E. D'Hoker and L. Vinet, Phys. Lett. B137 (1984) 72.
-
9[9]F. De Jonghe, A.J. Macfarlane, et al., Phys. Lett. B359(1995) 114.
-
10[10]B.G. Wybourne, Classical Groups for Physicists, John Wiley & Sons, New York (1974).
-
1M.R.Setare,V.Kamali.Twofold hidden conformal symmetry of Kerr-Bolt black holes[J].Chinese Physics B,2012,21(2):117-122.
-
2RIEFFEL Marc A.Leibniz seminorms and best approximation from C*-subalgebras[J].Science China Mathematics,2011,54(11):2259-2274. 被引量:1
-
3Hengyun YANG,Yafeng YU,Tingfu YAO.Derivation algebra and automorphism group of generalized topological N = 2 superconformal algebra[J].Frontiers of Mathematics in China,2013,8(4):973-986. 被引量:4
-
4Huanxia Fa,Jianzhi Han,Xiaoqing Yue.The Derivation Algebra and Automorphism Group of the Twisted N = 2 Superconformal Algebra[J].Algebra Colloquium,2016,23(3):443-454. 被引量:2
-
5Ying Xu,Xiaoqing Yue.W(a, b) Lie Conformal Algebra and Its Conformal Module of Rank One[J].Algebra Colloquium,2015,22(3):405-412. 被引量:3
-
6ZHA Jianguo(Department of Applied Mathematics,Tongji University, Shanghai 200092,China).ON SUBALGEBRAS OF CHEVALLEY ALGEBRAS CONCERNING SUBFIELDS[J].Systems Science and Mathematical Sciences,1996,9(1):13-19.
-
7Fengxiang Mei and Huibin Wu~(a) Faculty of Science,Beijing Institute of Technology,Beijing 100081,China.Algebraic structure and Poisson method for a weakly nonholonomic system[J].Theoretical & Applied Mechanics Letters,2011,1(2):73-75.
-
8周先银.A NOTE ON THE ASYMPTOTICS OF THE POLYMER MEASURES IN ONE DIMENSION[J].Acta Mathematicae Applicatae Sinica,1992,8(3):202-206.
-
9张宏标,田立君.Fidelity Susceptibility in the SU(2) and SU(1,1) Algebraic Structure Models[J].Chinese Physics Letters,2010,27(5):16-19.
-
10Ming Gao,Ying Xu,Xiaoqing Yue.The Lie Conformal Algebra of a Block Type Lie Algebra[J].Algebra Colloquium,2015,22(3):367-382. 被引量:1