27/32
High Energy Physics - Theory
2009-09-02 v2
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.
Keywords
Cite
@article{arxiv.0906.0965,
title = {27/32},
author = {Yuji Tachikawa and Brian Wecht},
journal= {arXiv preprint arXiv:0906.0965},
year = {2009}
}
Comments
3 pages. v2: references added, minor typos corrected