Physics
Scientific paper
Jan 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cqgra...2....1v&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 2, Jan. 1, 1985, p. 1-20.
Physics
39
Elementary Particles, Gravitation Theory, Mass Spectra, Particle Mass, Particle Theory, Supergravity, Unified Field Theory, Bosons, Conformal Mapping, Fermions, Gauge Theory, Particle Spin, Set Theory, Space-Time Functions, Yang-Mills Fields
Scientific paper
Using the formalism of spherical harmonics, the massless and massive bosonic and fermionic modes on S4 are determined. As on S7, there are extra massless scalar modes, but unlike on S7 there are no scalar modes with negative anti-de Sitter mass squared, nor any with a conformally invariant field equation. A detailed discussion is given of the conformal symmetries which survive the gauge fixing and which are needed to eliminate spurious scalar modes. Also the diagonalization of the massive spin-2 and spin-3/2 modes, and of the coupled spin-1 modes, is discussed.
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