AdS/CFT correspondence and topological field theory | Zendy

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AdS/CFT correspondence and topological field theory

Author(s) -

Edward Witten

Publication year - 1998

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/1998/12/012

Subject(s) - conformal field theory , topological quantum field theory , field (mathematics) , field theory (psychology) , manifold (fluid mechanics) , physics , topology (electrical circuits) , space (punctuation) , conformal map , topological space , mathematics , mathematical physics , pure mathematics , geometry , combinatorics , computer science , mechanical engineering , engineering , operating system

In ${\cal N}=4$ super Yang-Mills theory on a four-manifold $M$, one canspecify a discrete magnetic flux valued in $H^2(M,\Z_N)$. This flux is encodedin the AdS/CFT correspondence in terms of a five-dimensional topological fieldtheory with Chern-Simons action. A similar topological field theory in sevendimensions governs the space of ``conformal blocks'' of the six-dimensional$(0,2)$ conformal field theory.Comment: 33 pp, minor correction

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