The Large N Limit of Superconformal Field Theories and Supergravity
1997/11/27 by Juan Maldacena, Juan M. Maldacena · 4 voices · 412 citations
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1023/a:1026654312961
Abstract
We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of Anti-deSitter spacetimes, spheres and other compact manifolds. This is shown by taking some branes in the full M/string theory and then taking a low energy limit where the field theory on the brane decouples from the bulk. We observe that, in this limit, we can still trust the near horizon geometry for large N. The enhanced supersymmetries of the near horizon geometry correspond to the extra supersymmetry generators present in the superconformal group (as opposed to just the super-Poincare group). The 't Hooft limit of 4-d \cal N =4 super-Yang-Mills at the conformal point is shown to contain strings: they are IIB strings. We conjecture that compactifications of M/string theory on various Anti-deSitter spacetimes are dual to various conformal field theories. This leads to a new proposal for a definition of M-theory which could be extended to include five non-compact dimensions.
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Discussions
- And the Poincaré models described above are especially relevant for the AdS/CFT correspondence, since they describe a patch of (Euclidean) anti de Sitter space. This has been an important topic in the [bsky, 13 points, 1 comments]
- I'm reading Maldacena's first paper on the AdS/CFT correspondence. I am quite familiar with his construction through Ammon & Erdmenger's textbook and other related notes, but I am a bit confused by so [stackexchange, 5 points]
- Originalreferens om nån vill ha (läsning med tuggmotstånd!) arxiv.org/abs/hep-th/9... [bsky, 0 points, 0 comments]
- Juan Maldacena zeigt mit seiner AdS/CFT-Korrespondenz, dass eine Stringtheorie in gekrümmtem Anti-de-Sitter-Raum äquivalent zu einer Quantenfeldtheorie an dessen Rand ist und genau das wird als hologr [bsky, 0 points, 1 comments]
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