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Essays on supersymmetry

Author: Flato, M. ; ; Christian Fronsdal; M Flato; T Hirai
Publisher: Dordrecht ; Boston : Reidel ; Hingham, MA, U.S.A. : Kluwer Academic Publishers [distributor], ©1986.
Series: Mathematical physics studies, v. 8.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Such unification may also require that the supersymmetry group possess irreducible representations with infinite reductiori on the Poincare subgroup, to accommodate an infinite set of particles.

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Genre/Form: Aufsatzsammlung
Additional Physical Format: Online version:
Essays on supersymmetry.
Dordrecht ; Boston : Reidel ; Hingham, MA, U.S.A. : Kluwer Academic Publishers [distributor], ©1986
(OCoLC)610205116
Document Type: Book
All Authors / Contributors: Flato, M. ; ; Christian Fronsdal; M Flato; T Hirai
ISBN: 9027722072 9789027722072
OCLC Number: 13124289
Description: ix, 270 pages : illustrations ; 25 cm.
Contents: 1. Why supersymmetry?.- 2. Why in de Sitter space?.- 3. Why group theory?.- 4. Background.- 5. This book, summary.- 6. Future directions.- Unitary Representations of Supergroups.- 0. Introduction..- 1. General structural problems.- 2. Invariant Hermitean forms.- 3. An example: osp(2n/l).- 3+2 De Sitter Superfields.- 0. Introduction.- 1. Superfields and induced representations.- 2. Induction from an irreducible representation.- 3. Invariant operators.- 4. Massive superfields, "scalar" multiplet.- 5. The "vector" multiplet.- 6. The simplest superfield for N = 2 supersymmetry.- 7. Induction from an irreducible representation.- 8. Wave equations for N = 2.- 9. The spinor superfield and de Sitter chirality.- Appendices.- Al. Linear action for osp(2n/l).- A2. Linear action for osp(2n/2).- A3. Intertwining operators.- A4. Invariant fields.- Spontaneously Generated Field Theories, Zero-Center Modules, Colored Singletons and the Virtues of N = 6 Supergravity.- 0. Introduction.- 1. De Sitter electrodynamics.- 2. Conformal electrodynamics.- 3. De Sitter super electrodynamics.- 4. Extended de Sitter super electrodynamics.- 5. Super conformal electrodynamics.- 6. Extended super conformal electrodynamics.- Massless Particles, Orthosymplectic Symmetry and Another Type of Kaluza-Klein Theory.- 0. Introduction.- I. Geometric preliminaries.- 1. Phase space, sp(2n,R) and osp(2n/l).- 2. The oscillator representation.- II. Superfield preliminaries.- 3. Superfield representation.- 4. Oscillator representation on superfields.- III. Algebraic representation theory.- 5. Lowest weight representations of sp(2n).- 6. K-structure.- 7. Non-decomposable representations of sp(2n).- 8. Lowest weight representations of osp(2n/l).- IV. Homogeneous space and line bundle.- 9. The homogeneous space X.- 10. Parameterization of X.- 11. The line bundle Z? over X.- 12. The oscillator representation on Z?1/2.- V. Physical interpretation.- 13. The conformal group U?(n).- 14. Identification of space time.- 15. The other orbits of U? (n).- 16. Interpretation of the extra dimensions.- 17. Irreducible u? (n) modules.- VI. Scalar field on space time.- 18. Scalar field on Dirac's projective cone.- 19. Quasi-invariant wave operator on U(2).- 20. The conformal tube.- 21. Hilbert space of holomorphic functions.- 22. Invariant bilinear functionals.- 23. Cauchy kernel and Lagrangian.- VII. osp(8) field theory--a beginning.- 24. Intertwining operators.- 25. Lagrangian and wave equation.- 26. The reduced superfield.
Series Title: Mathematical physics studies, v. 8.
Responsibility: edited by C. Fronsdal ; with contributions by M. Flato, C. Fronsdal, T. Hirai.

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