Non-conformality of gamma(i)-deformed N=4 SYM theory

作者：Fokken Jan^*; Sieg Christoph; Wilhelm Matthias

来源：Journal of Physics A-Mathematical and Theoretical, 2014, 47(45): 455401.

DOI：10.1088/1751-8113/47/45/455401

• AdS/CFT correspondence
• gauge theory
• renormalization
• integrability

We show that the gamma(i)-deformation, which was proposed as candidate gauge theory for a non-supersymmetric three-parameter deformation of the anti-de Sitter/conformal field theory correspondence, is not conformally invariant due to a running double-trace coupling-not even in the %26apos;t Hooft limit. Moreover, this non-conformality cannot be cured when we extend the theory by adding at tree-level arbitrary multi-trace couplings that obey certain minimal consistency requirements. Our findings suggest a possible connection between this breakdown of conformal invariance and a puzzling divergence recently encountered in the integrability-based descriptions of two-loop finite-size corrections for the single-trace operator of two identical chiral fields. We propose a test to clarify this.

• 出版日期2014-11-14