Nonperturbative effects in AdS in five-dimensions x S**5 string theory and d = 4 SUSY Yang-Mills

Apr, 1998
15 pages
Published in:
  • JHEP 05 (1998) 002
e-Print:
Report number:
  • RU-98-17,
  • DAMTP-98-25,
  • NSF-ITP-98-054

Citations per year

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Abstract:
We show that five-dimensional anti de-Sitter space remains a solution to low-energy type IIB supergravity when the leading higher-derivative corrections to the classical supergravity (which are non-perturbative in the string coupling) are included. Furthermore, at this order in the low energy expansion of the IIB theory the graviton two-point and three-point functions in AdS5×S5AdS_5 \times S^5 are shown not to be renormalized and a precise expression is obtained for the four-graviton and related S-matrix elements. By invoking Maldacena's conjectured connection between IIB superstring theory and supersymmetric Yang-Mills theory corresponding statements are obtained concerning correlation functions of the energy-momentum tensor and related operators in the large-N Yang-Mills theory. This leads to interesting non-perturbative statements and insights into the r\^ole of instantons in the gauge theory.
  • string model
  • dimension: 10
  • space-time: anti-de Sitter
  • supergravity
  • effect: nonperturbative
  • n-point function
  • gauge field theory: Yang-Mills
  • supersymmetry
  • dimension: 4
  • expansion 1/N