Higher representations duals
Abstract
We uncover novel solutions of the 't Hooft anomaly matching conditions for scalarless gauge theories with matter transforming according to higher dimensional representations of the underlying gauge group. We argue that, if the duals exist, they are gauge theories with fermions transforming according to the defining representation of the dual gauge group. The resulting conformal windows match the one stemming from the allorders beta function results when taking the anomalous dimension of the fermion mass to be unity which are also very close to the ones obtained using the SchwingerDyson approximation. We use the solutions to gain useful insight on the conformal window of the associated electric theory. A consistent picture emerges corroborating previous results obtained via different analytic methods and in agreement with first principle lattice explorations.
 Publication:

Nuclear Physics B
 Pub Date:
 May 2010
 DOI:
 10.1016/j.nuclphysb.2009.12.026
 arXiv:
 arXiv:0909.4584
 Bibcode:
 2010NuPhB.830..179S
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology
 EPrint:
 RevTeX, 23 pages, 3 figures