Conformal Maxwell theory as a singleton field theory on AdS_5, IIB three-branes and duality

Abstract

We examine the boundary conditions associated with extended supersymmetric Maxwell theory in 5-dimensional anti-De Sitter space. Excitations on the boundary are identical to those of ordinary 4-dimensional conformal invariant super electrodynammics. Extrapolations of these excitations give rise to a 5-dimensional topological gauge theory of the singleton type. The possibility of a connection of this phenomenon to the world volume theory of 3-branes in IIB string theory is discussed.

19 pages, TeX, no figures; v2: misprints corrected, references added, discussion on Chern-Simons couplings revised. v3: References added, misprints corrected and a discussion in section 2 revised. v4: Typos corrected and reference added