Titlebook: Conformal Groups and Related Symmetries Physical Results and Mathematical Background; Proceedings of a Sym A. O. Barut,H. -D. Doebner Confe

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Transitional Justice in Practiceeted as a homogeneous space of SU(2). An expanding model of the universe is locally approximated by de Sitter spaces. Irreducible representations of the de Sitter group are explicitly constructed in ur theory. From these, Poincaré group representations in Minkowski space with well-defined rest mass

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https://doi.org/10.1007/978-1-4419-6099-3nformal compactification M of the Minkowski space time. They are interachanged by the space and space-time inversions. It is suggested that Dirac spinor fields should be coupled to a gauge potential in order to get a nontrivial unitary representation of the conformal group in the space of solutions

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From Heisenberg algebra to conformal dynamical group,The basic algebraic structures in the quantum theory of the electron, from Heisenberg algebra, kinematic algebra, Galilean, and Poincaré groups, to the internal and external conformal algebras are outlined. The universal role of the conformal dynamical group from electron, H-atom, hadrons, to periodic table is discussed.

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Path integral realization of a dynamical group,A way to realize a dynamical group in terms of a path integral is illustrated by using the Poschl-Teller oscillator.

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https://doi.org/10.1007/3-540-17163-0conformal field theory; path integral; quantum field; quantum field theory; supergravity

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Conformal Groups and Related Symmetries Physical Results and Mathematical Background978-3-540-47219-3Series ISSN 0075-8450 Series E-ISSN 1616-6361

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0075-8450 Overview: 978-3-662-14482-4978-3-540-47219-3Series ISSN 0075-8450 Series E-ISSN 1616-6361