A counterexample to the a-'theorem'

Details A counterexample to the a-'theorem' A counterexample to the a-'theorem'

2008-09-19

arxiv.org/abs/0809.3238v2

JHEP0812:020,2008

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 4 figures. v2: published version

Scientific paper

10.1088/1126-6708/2008/12/020

We exhibit a renormalization group flow for a four-dimensional gauge theory along which the conformal central charge 'a' increases. The flow connects the maximally superconformal point of an N=2 gauge theory with gauge group SU(N+1) and N_f=2N flavors in the ultraviolet, to a strongly-coupled superconformal point of the SU(N) gauge theory with N_f=2N massless flavors in the infrared. Our example does not contradict the proof of the a-theorem via a-maximization, due to the presence of accidental symmetries in the infrared limit. Nor does it contradict the holographic a-theorem, because these gauge theories do not possess weakly-curved holographic duals.

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