Vanishing one-loop beta function in gauged N greater than 4 supergravity

Details Vanishing one-loop beta function in gauged N greater than 4 supergravity Vanishing one-loop beta function in gauged N greater than 4 supergravity

Jul 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980phrvl..45..161c&link_type=abstract

Physical Review Letters, vol. 45, July 21, 1980, p. 161-164.

Mathematics

24

Cosmology, Functions (Mathematics), Gravitation Theory, Supergravity, Astronomical Models, Symmetry, Topology

Scientific paper

In O(N) extended supergravity theories the usual arguments for one-loop finiteness (modulo topological terms) cease to apply when the internal symmetry is gauged because of the appearance of a cosmological constant related to the gauge coupling e. It is found that infinite renormalizations are required for N not greater than 4. The particle content of theories with N greater than 4 results in a cancellation of these infinities, which implies a vanishing one-loop beta(e) function.

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