Superconformal N=1 Gauge Theories, beta-Function Invariants and their Behavior under Seiberg Duality

TL;DR

This paper explores how superconformal N=1 gauge theories behave under Seiberg duality, proposing invariance of beta-function determinants and constructing new superconformal models.

Contribution

It introduces the conjecture that beta-function determinants are invariant under Seiberg duality and constructs new superconformal N=1 gauge theories.

Findings

Beta-function determinants are invariant under Seiberg duality.

Superconformal N=1 gauge theories can be constructed beyond previously known models.

The duality preserves superconformality on corresponding moduli spaces.

Abstract

In this paper we discuss some aspects of the behavior of superconformal N=1 models under Seiberg's duality. Our claim is that if an electric gauge theory is superconformal on some marginal subspace of all coupling constants then its magnetic dual must be also superconformal on a corresponding moduli space of dual couplings. However this does not imply that the magnetic dual of a completely finite N=1 gauge theory is again finite. Moreover we generalize this statement conjecturing that also for non-superconformal N=1 models the determinant of the beta-function equations is invariant under Seiberg duality. During the course of this investigation we construct some superconformal N=1 gauge theories which were not yet discussed before.