Explanation of the Central Charge Ratio<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>27</mml:mn><mml:mo>/</mml:mo><mml:mn>32</mml:mn></mml:math>in Four-Dimensional Renormalization Group Flows between Superconformal Theo

DOI10.1103/PHYSREVLETT.103.061601zbMATH Open1254.81066arXiv0906.0965WikidataQ84600221 ScholiaQ84600221MaRDI QIDQ4898083

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Publication date: 29 December 2012

Published in: (Search for Journal in Brave)

Abstract: We show that when an N=2 SCFT flows to an N=1 SCFT via giving a mass to the adjoint chiral superfield in a vector multiplet with marginal coupling, the central charges a and c of the N=2 theory are related to those of the N=1 theory by a universal linear transformation. In the large N limit, this relationship implies that the central charges obey a_IR/a_UV=c_IR/c_UV=27/32. This gives a physical explanation to many examples of this number found in the literature, and also suggests the existence of a flow between some theories not previously thought to be connected.

Full work available at URL: https://arxiv.org/abs/0906.0965

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