2008

A counterexample to the a-'theorem'

Shapere, Alfred D., Tachikawa, Yuji

Understand

The conclusion of the original paper was wrong, due to the incorrect assumption that the low-energy limit at the strongly-coupled point consists of a single, coupled SCFT.

By taking into account the fact that the low-energy limit consists of multiple decoupled parts, it was later shown in arXiv:1011.4568 that there is no violation of the a-theorem in this system.
Furthermore, the a-theorem itself was convincingly demonstrated in arXiv:1107.3987, and the argument presented there has been further refined.
The rest of this paper is kept as it was, for some parts of the discussions might still be of interest.

Built on

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Similar

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