# A counterexample to the a-'theorem'

@article{Shapere2008ACT, title={A counterexample to the a-'theorem'}, author={Alfred Shapere and Yuji Tachikawa}, journal={Journal of High Energy Physics}, year={2008}, volume={2008}, pages={020-020} }

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 = 2 gauge theory with gauge group SU(N+1) and Nf = 2N flavors in the ultraviolet, to a strongly-coupled superconformal point of the SU(N) gauge theory with Nf = 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…

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