Duality of Non-Supersymmetric Large N Gauge Theories
Martin Schmaltz
TL;DR
The paper develops a framework to derive non-supersymmetric large-N dual pairs by applying orbifold projections to Seiberg's SUSY QCD dual pair, arguing that large-N correlators are preserved with appropriate coupling rescalings. It provides a concrete construction of a chiral, non-supersymmetric SU(N)^3 theory and its dual via orbifolding, including operator maps and consistency checks. The approach leverages planar equivalence and group-theoretic projections to extend electric-magnetic duality into non-supersymmetric regimes, suggesting a path to study IR dynamics of non-SUSY gauge theories. The work also discusses potential finite-N extensions and connections to string-theoretic orbifolds, highlighting avenues for future verification and application.
Abstract
Starting from Seiberg's electric-magnetic duality for supersymmetric QCD, we construct dual pairs of non-supersymmetric gauge theories. This is accomplished by first taking the large N limit of supersymmetric QCD and its dual partner and then performing a special ``orbifold projection'' recently introduced by Kachru and Silverstein. We argue that in the large N limit the two projected theories remain dual. The non-supersymmetric gauge theories which can be studied in this fashion have non-supersymmetric field content, chiral fermions and exactly massless scalar matter.