$$ \mathcal{N} $$ = 1 conformal dualities

Supersymmetric dualities beyond the conformal window.

Using the superconformal (SC) indices techniques, we construct Seiberg type dualities for N=1 supersymmetric field theories outside the conformal windows. These theories are physically distinguished by the presence of chiral superfields with small or negative R charges.

Supersymmetry and Dualities in Various Dimensions 1

Sicilian gauge theories and N = 1 dualities

In theories without known Lagrangian descriptions, knowledge of the global symmetries is often one of the few pieces of information we have at our disposal. Gauging (part of) such global symmetries can then lead to interesting new theories, which are usually still quite mysterious. In this work, we describe a set of tools that can be used to explore the superconformal phases of these theories. ...

1 Finite Unified Theories Predictions and Dualities 1

N = 1, all-loop Finite Unified Theories (FUTs) are very interesting not only since they realize an old theoretical dream, but also due the remarkable predictive power of particular models as well as for providing candidates that might shed light in non-perturbative Physics. Here we discuss (a) the recent developments concerning the soft supersymmetry breaking (SSB) sector of these theories and ...

Scaling Dualities

In this paper rst we prove four fundamental theorems of the alternative, called scaling dualities, characterizing exact and approximate solvability of four signi cant conic problems in nite dimensional spaces, de ned as: homogeneous programming (HP), scaling problem (SP), homogeneous scaling problem (HSP), and algebraic scaling problem (ASP). Let be a homogeneous function of degree p > 0, K a p...