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AdS/CFT Correspondence And Topological Field Theory

High Energy Physics - Theory 2010-04-07 v2

Abstract

In N=4{\cal N}=4 super Yang-Mills theory on a four-manifold MM, one can specify a discrete magnetic flux valued in H2(M,ZN)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)(0,2) conformal field theory.

Keywords

Cite

@article{arxiv.hep-th/9812012,
  title  = {AdS/CFT Correspondence And Topological Field Theory},
  author = {Edward Witten},
  journal= {arXiv preprint arXiv:hep-th/9812012},
  year   = {2010}
}

Comments

33 pp, minor corrections