Constraints on perturbative RG flows in six dimensions

When conformal field theories (CFTs) are perturbed by marginally relevant deformations, renormalization group (RG) flows ensue that can be studied with perturbative methods, at least as long as they remain close to the original CFT. In this work we study such RG flows in the vicinity of six-dimensional unitary CFTs. Neglecting effects of scalar operators of dimension two and four, we use Weyl consistency conditions to prove the alpha-theorem in perturbation theory, and establish that scale implies conformal invariance. We identify a quantity that monotonically decreases in the flow to the infrared due to unitarity, showing that it does not agree with the one studied recently in the literature on the six-dimensional O-3 theory.


Published in:
Journal Of High Energy Physics, 8, 010
Year:
2016
Publisher:
New York, Springer
ISSN:
1029-8479
Keywords:
Laboratories:




 Record created 2016-10-18, last modified 2018-01-28


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