On the non-planar β-deformed N = 4 super-Yang-Mills theory

Q. Jin, R. Roiban

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6 Scopus citations


The β-deformation is one of the two superconformal deformations of the N = 4 super-YangMills theory. At the planar level, it shares all of its properties except for supersymmetry, which is broken to the minimal amount. The tree-level amplitudes of this theory exhibit new features, which depart from the commonly assumed properties of gauge theories with fields in the adjoint representation. We analyze in detail complete one-loop amplitudes and a non-planar two-loop amplitude of this theory and show that, despite having only N = 1 supersymmetry, the two-loop amplitudes have a furtherimproved ultraviolet behavior. This phenomenon is a counterpart of a similar improvement previously observed in the double-trace amplitude of the N = 4 super-YangMills theory at three- and four-loop orders and points to the existence of additional structure in both the deformed and the undeformed theories.

Original languageEnglish (US)
Article number295401
JournalJournal of Physics A: Mathematical and Theoretical
Issue number29
StatePublished - Jul 27 2012

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy


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