Multi - instantons and Maldacena's conjecture

Oct, 1998
12 pages
Published in:
  • JHEP 06 (1999) 023
e-Print:
Report number:
  • UW-PT-98-18,
  • DTP-98-74,
  • SWAT-98-207

Citations per year

1998200320082013201805101520
Abstract:
We examine certain n-point functions G_n in {\cal N}=4 supersymmetric SU(N) gauge theory at the conformal point. In the large-N limit, we are able to sum all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large-N k-instanton collective coordinate space has the geometry of AdS_5 x S^5. (2) In exact agreement with type IIB superstring calculations, at the k-instanton level, Gn=Ng8kn7/2e8π2k/g2dkd2×Fn(x1,...,xn)G_n = \sqrt{N} g^8 k^{n-7/2} e^{-8\pi^2 k/g^2}\sum_{d|k} d^{-2} \times F_n(x_1,...,x_n), where F_n is identical to a convolution of n bulk-to-boundary SUGRA propagators.
  • gauge field theory: SU(N)
  • supersymmetry
  • instanton
  • n-point function
  • expansion 1/N
  • measure: factorization
  • dimension: 10
  • space-time: anti-de Sitter