Restrictions imposed by superconformal invariance on quantum field theories

Advances in Theoretical and Mathematical Physics

Volumn 2, Issue 4, 1998, Pages 781-846

  Minwalla, Shiraz ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000400836     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/atmp.1998.v2.n4.a4     Document Type: Article

References (19)

1. Two references on the rather strange fact that scale invariance often implies conformal invariance are - S.Coleman, "Aspects of Symmetry", Cambridge University Press, Lecture 3;
2. J. Polchinksi, "Scale and Conformal invariance in Quantum Field Theory", Nucl. Phys. B303 (1988) 226-236
3. V.G.Kac, "Lie Superalgebras", Advances in Mathematics, 26 (1977), 8-96.
4. Steven Shnider, "The Superconformal Algebra in Higher Dimensions "Let. Math. Phys. 16 (1988) 377-383.
5. V.K. Dobrev and V.B. Petkova. "All Positive Energy Unitary Irreducible Representations Of Extended Conformal Supersymmetry," Phys. Lett. B162B (1985) 127-132
6. V.K. Dobrev and V.B. Petkova, "All Positive Energy Unitary Irreducible Representa-tions Of Extended Conformal Supersymmetry," in 'Conformal Groups and Related Symmetries Physical Results and Mathematical Background, Springer Verlag Lecture notes in Physics 261, Proceedings of a Symposium at Clausthal, Eds A.O. Barut and H.D. Doebner
7. V.K. Dobrev and V.B. Petkova, "Group Theoretic Approach To Extended Confor-mal Supersymmetry...," Fortschr. Phys. 35 (1987) 537-572,.The relevant portions are contained mainly in section 7.
8. V.G.Kac, "Representations of Classical Lie Superalgebras", in Lecture Notes in Mathematics, Vol. 676 (Springer-Verlag, Berlin, 1978) 597
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11. G. Mack, "All Unitary Ray Representations of the Conformal Group SU(2,2) with Positive Energy,Comm. Math. Phys. 55 (1977) 1"
12. W.Siegel, "All Free Conformal representations in all Dimensions, "Int. J. of Modern Physics A, 4 (1989) 2015-2020
13. J.Strathdee, "Extended Poincare Supersymmetry", Int. J. of Modern Physics A, 2 (1987) 273-300
14. Nathan Seiberg, "Notes on Theories with 16 Supercharges"
15. W. Heidenreich, "All Linear Unitary Irreducible Representations of de Sitter Supersymmetry with Positive Energy," Phys. Lett. B110 (1982) 461-464.
16. M. Scheunert, W.Nahm and V. Rittenberg, "Classification of all simple graded Lie algebras whose Lie algebra is reductive. 2. Construction of the exceptional alge-bras"J.Math.Phys. 17 (1976) 1640-1644, see appendix C.
17. M. Gunaydin and N.P. Warner, "Unitary Supermultiplets of OSp(8/4,R)... Supergrav-ity," Nucl. Phys. B272 (1986) 99-124
18. 5 compactification of the Chira N=2, D=10... U(2,2/4)," Class. Quantum Grav. 2 (1985) L11-L17
19. P.Claus, R. Kallosh and A V Proeyen, "M-5 brane and superconformal(0,2) tensor multiplet in 6 dimensions".