On R-symmetric Fixed Points and Superconformality

Details On R-symmetric Fixed Points and Superconformality On R-symmetric Fixed Points and Superconformality

2011-02-11

arxiv.org/abs/1102.2294v2

Phys.Rev.D83:105011,2011

Physics

High Energy Physics

High Energy Physics - Theory

21 pages; references added; brief additional comments; results unchanged

Scientific paper

10.1103/PhysRevD.83.105011

An important unanswered question in quantum field theory is to understand precisely under which conditions scale invariance implies invariance under the full conformal group. While the general answer in two dimensions has been known for over twenty years, a precise non-perturbative relation between scale and conformal invariance in higher dimensions has been lacking. In this note, we specialize to four dimensions and give a full quantum mechanical proof that certain unitary R-symmetric fixed points are necessarily superconformal. Among other consequences, this result implies that the infrared fixed points of N=1 supersymmetric quantum chromodynamics are superconformal.

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