Large-N limits of certain conformal field theories are equivalent to supergravity on AdS space, with CFT correlation functions obtained from the supergravity action evaluated on boundary asymptotics and operator dimensions equal to particle masses.
Conformal Maxwell theory as a singleton field theory on AdS_5, IIB three-branes and duality
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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.
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Extends supersymmetry enhancement mechanism to curved HyperKähler manifolds in 3D super Chern-Simons theories using Calabi metrics on T* P^n, linking to M-theory compactifications.
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Anti De Sitter Space And Holography
Large-N limits of certain conformal field theories are equivalent to supergravity on AdS space, with CFT correlation functions obtained from the supergravity action evaluated on boundary asymptotics and operator dimensions equal to particle masses.
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The $\mathcal{N}_3=3\to \mathcal{N}_3=4$ enhancement of Super Chern-Simons theories in $D=3$, Calabi HyperK\"ahler metrics and M2-branes on the $\mathcal{C}(\mathrm{N^{0,1,0}})$ conifold
Extends supersymmetry enhancement mechanism to curved HyperKähler manifolds in 3D super Chern-Simons theories using Calabi metrics on T* P^n, linking to M-theory compactifications.