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N=1 and N=2 super-Yang–Mills theories from wrapped branes

Nuclear Physics B, ISSN: 0550-3213, Vol: 646, Issue: 1, Page: 43-68
2002
  • 66
    Citations
  • 0
    Usage
  • 4
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    66
    • Citation Indexes
      66
  • Captures
    4

Article Description

We consider supergravity solutions of D5-branes wrapped on supersymmetric 2-cycles and use them to discuss relevant features of four-dimensional N=1 and N=2 super-Yang–Mills theories with gauge group SU ( N ). In particular in the N=1 case, using a gravitational dual of the gaugino condensate, we obtain the complete NSVZ β -function. We also find non-perturbative corrections associated to fractional instantons with charge 2/ N. These non-perturbative effects modify the running of the coupling constant which remains finite even at small scales in a way that resembles to the soft confinement scenario of QCD.

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