Conformal Fields in Higher Dimensions

Details Conformal Fields in Higher Dimensions Conformal Fields in Higher Dimensions

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet..508f&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

We generalize, to any space-time dimension, the unitarity bounds of highest weight UIR's of the conformal groups with Lie algebras so(2,d). We classify gauge theories invariant under so(2,d), both integral and half-integral spins. A similar analysis is carried out for the algebras so*(2n). We study new unitary modules of the conformal algebra in d > 4, that have no analogue for d ≤ 4 as they cannot be obtained by "squaring" singletons. This may suggest the interpretation of higher dimensional non-trivial conformal field theories as theories of "tensionless" p-branes of which tensionless strings in d = 6 are just particular examples.

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