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arxiv: 0906.0965 · v2 · submitted 2009-06-04 · ✦ hep-th

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27/32

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classification ✦ hep-th
keywords centralchargesscfttheoryadjointchiralconnectedcoupling
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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.

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