Higher Representations Duals

TL;DR

This paper explores dualities in scalarless gauge theories with higher-dimensional matter representations, providing new solutions to anomaly matching conditions and insights into the conformal window consistent with lattice results.

Contribution

It introduces novel solutions to anomaly matching for theories with higher-dimensional matter, suggesting duals are gauge theories with fundamental fermions, and aligns conformal window predictions with other analytic methods.

Findings

Conformal windows match all-orders beta function predictions.

Dual theories likely have fermions in the fundamental representation.

Results agree with lattice and Schwinger-Dyson approximations.

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 all-orders 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 Schwinger-Dyson 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.