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arXiv · 0812.2901

Anti-de Sitter space from supersymmetric gauge theory

Simon Catterall
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Abstract

We construct a four dimensional Yang-Mills theory with ${\cal N}=4$ twisted supersymmetry whose classical vacua correspond to four dimensional anti-de Sitter space. The theory utilizes a complex gauge field whose real part is a spin connection which is used to enforce local Lorentz invariance. The imaginary part of the connection can then be interpreted as a vierbein. The topological construction ensures that the partition function and classical vacua are independent of the background geometry. Additionally a supersymmetric and gauge invariant lattice construction is possible yielding a non-perturbative definition of the theory.

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Simon Catterall. 2009-01-07. Anti-de Sitter space from supersymmetric gauge theory. https://arxiv.org/abs/0812.2901

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