The Large N limit of superconformal field theories and supergravity - INSPIRE

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The Large N limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

Nov, 1997

21 pages

Published in:

Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
Adv.Theor.Math.Phys. 2 (1998) 231-252

e-Print:

hep-th/9711200 [hep-th]

DOI:

10.4310/ATMP.1998.v2.n2.a1 (publication),
10.1023/A:1026654312961 (reprint)

Report number:

HUTP-97-A097,
HUTP-98-A097

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Abstract: (arXiv)

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.

Note:

Reprinted in *Duff, M.J. (ed.): The world in eleven dimensions* 492-513

field theory: conformal
expansion 1/N
supergravity
Hilbert space
space-time: anti-de Sitter
membrane model
string model
geometry: horizon
gauge field theory: U(N)
supersymmetry

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Figures(0)

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