Derivation algebra and automorphism group of
generalized Ramond N = 2 superconformal
algebra

doi:10.1007/s11464-009-0041-5

Front. Math. China

2009, Vol. 4

Issue (4) : 637-650 https://doi.org/10.1007/s11464-009-0041-5

Research articles

Derivation algebra and automorphism group of generalized Ramond N = 2 superconformal algebra

Jiayuan FU,Yongcun GAO,

Department of Mathematics, Communication University of China, Beijing 100024, China;

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Abstract In this paper, we give the definition of the generalized Ramond N = 2 superconformal algebras and discuss the derivation algebra and the automorphism group.

Keywords Generalized Ramond N = 2 superconformal algebra derivation algebra automorphism group

Issue Date: 05 December 2009

Cite this article:

Jiayuan FU,Yongcun GAO. Derivation algebra and automorphism group of generalized Ramond N = 2 superconformal algebra[J]. Front. Math. China, 2009, 4(4): 637-650.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-009-0041-5
https://academic.hep.com.cn/fmc/EN/Y2009/V4/I4/637

	Ademollo M, Brink L, d’Adda A, Auria R, Napolitano E, Sciuto S, Giudice E del, Vecchia P di, Ferrara S, Gliozzi F, Musto R, Pettorino R. Supersymmetric strings and colour confinement. Phys Lett B, 1976, 62: 105―110 doi: 10.1016/0370-2693(76)90061-7
	Boucher W, Friedan D, Kent A. Determinant formulae and unitarity for the N = 2 superconformal algebras in two dimensionsor exact results on string compactification. Phys Lett B, 1986, 172: 316―322 doi: 10.1016/0370-2693(86)90260-1
	Cheng S L, Kac V G. A new N = 6 superconformal algebra. Comm Math Phys, 1997, 186: 219―231 doi: 10.1007/BF02885679
	Dörrzapf M. SuperconformalField Theories and Their Representations. Ph D Thesis. University of Cambridge, September, 1995
	Dörrzapf M. Theembedding structure of unitary N = 2 minimal models. Nucl Phys, 1998, B529: 639―655 doi: 10.1016/S0550-3213(98)00365-4
	Dobrev V K. Characters of the unitarizable highest weight modules over the N = 2 superconformal algebras. Phys Lett B, 1987, 186: 43―51 doi: 10.1016/0370-2693(87)90510-7
	Farnsteiner R. Derivationsand central extensions of finitely generated graded Lie algebra. J Algebra, 1988, 118: 33―45 doi: 10.1016/0021-8693(88)90046-4
	Fu J, Jiang Q, Su Y. Classification of modules of intermediate series overRamond N = 2 superconformal algebras. Journal of Mathematical Physics, 2007, 48: 043508 doi: 10.1063/1.2713998
	Jiang C. Theholomorph and derivation algebra of infinite dimensional Heisenbergalgebra. Chinese J Math, 1997, 17: 422―426
	Kac V G. Lie superalgebras. Adv Math, 1977, 26: 8―97 doi: 10.1016/0001-8708(77)90017-2
	Kac V G, van de Leuer J W. On Classification of SuperconformalAlgebras. Strings 88. Singapore: World Scientific, 1988
	Kiritsis E. Characterformula and the structure of the representations of the N = 1, N = 2 superconformal algebras. Int J ModPhys A, 1988, 3: 1871―1906 doi: 10.1142/S0217751X88000795
	Shen R, Jiang C. The derivation algebra andthe automorphism group of the twisted Heisenberg-Virasoro algebra. Comm Algebra, 2006, 34: 2547―2558 doi: 10.1080/00927870600651257
	Song G, Su Y. Derivations and 2-cocyclesof contact Lie algebras related to locally-finite derivations. Comm Alg, 2004, 32(12): 4613―4631 doi: 10.1081/AGB-200036818
	Su Y. Derivationsof generalized Weyl algebras. Science inChina, Ser A, 2003, 46: 346―354
	Su Y. Structureof Lie superalgebras of Block type related to locally finite derivations. Comm Algebra, 2003, 31: 1725―1751 doi: 10.1081/AGB-120018505
	Su Y, Zhou J. Structure of the Lie algebrasrelated to those of block. Comm Algebra, 2002, 30: 3205―3226 doi: 10.1081/AGB-120004484
	Zhu L, Meng D. Some infinite dimensionalcomplete Lie algebra. Chin Ann Math, 2000, 21A(3): 311―316

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