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A counterexample to the 'a-theorem' | | Alfred D. Shapere
; Yuji Tachikawa
; | | Date: |
19 Sep 2008 | | Abstract: | 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)
with 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. | | Source: | arXiv, 0809.3238 | | Services: | Forum | Review | PDF | Favorites | |
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