AdS/CFT Correspondence And Topological Field Theory

Details AdS/CFT Correspondence And Topological Field Theory AdS/CFT Correspondence And Topological Field Theory

1998-12-01

arxiv.org/abs/hep-th/9812012v2

JHEP 9812:012,1998

Physics

High Energy Physics

High Energy Physics - Theory

33 pp, minor corrections

Scientific paper

10.1088/1126-6708/1998/12/012

In ${\cal N}=4$ super Yang-Mills theory on a four-manifold $M$, one can specify a discrete magnetic flux valued in $H^2(M,\Z_N)$. This flux is encoded in the AdS/CFT correspondence in terms of a five-dimensional topological field theory with Chern-Simons action. A similar topological field theory in seven dimensions governs the space of ``conformal blocks'' of the six-dimensional $(0,2)$ conformal field theory.

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