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Published September 10, 2012 | public
Journal Article

Comments on Scale Invariant but Nonconformal Supersymmetric Field Theories

Yu, Nakayama

Abstract

We investigate a possibility of scale invariant but nonconformal supersymmetric field theories from a perturbative approach. The explicit existence of monotonically decreasing a-function that generates beta-functions as a gradient flow provides a strong obstruction for such a possibility at two-loop order. We comment on the "discovery" of scale invariant but nonconformal renormalization group trajectories via a "change of scheme" in (4-ϵ) dimension proposed in literatures.

Additional Information

© 2012 World Scientific Publishing Company. Received 26 June 2012. Accepted 28 June 2012. Published 16 August 2012. We thank M. Buican, S. Rychkov and Y. Tachikawa for stimulating discussions. We are greatly indebted to J.-F. Fortin for clarification of the arguments in their papers. There is no need to say, of course, that all the possible misunderstandings of their claim is on us. The work is supported by the World Premier International Research Center Initiative of MEXT of Japan.

Additional details

Created:
August 22, 2023
Modified:
October 19, 2023