Detailing N=1 Seiberg's Duality through the Seiberg-Witten Solution of N=2

TL;DR

This paper explores the N=1 Seiberg duality by deriving it from the N=2 Seiberg-Witten solution, establishing a connection between the dual theories in specific vacua and regimes.

Contribution

It constructs the -dual N=1 theory from the N=2 Seiberg-Witten framework and demonstrates its equivalence to Seiberg duality in certain vacua.

Findings

The -dual theory matches Seiberg duality in zero vacua.

Strong-weak coupling duality exists in zero vacua at specific r values.

The construction applies to the regime analogous to the left of the conformal window.

Abstract

Starting from the Seiberg-Witten solution of N=2 SQCD with the U(N) gauge group and N_f quark flavors we construct the so-called \mu-dual N=1 theory in the r vacua in the regime analogous to that existing to the left of the left edge of the Seiberg conformal window (here r is the number of condensed quarks). The strong-weak coupling duality is shown to exist in the so-called zero vacua which can be found at r< N_f-N. We show that the \mu-dual theory matches the Seiberg dual in the zero vacua.