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

TL;DR

This paper explores how extended supersymmetric Maxwell theory in AdS_5 relates to boundary conformal super electrodynamics and singleton gauge theories, suggesting a link to IIB 3-brane world volume theories.

Contribution

It demonstrates the boundary conditions and excitations of supersymmetric Maxwell theory in AdS_5 correspond to conformal super electrodynamics and introduces a singleton gauge theory connection.

Findings

Boundary excitations match 4D conformal super electrodynamics

Extrapolated excitations form a 5D singleton gauge theory

Potential link to IIB string theory 3-brane world volume

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.