# From 4D to 3D chiral theories: Dressing the monopoles

@article{Amariti2015From4T, title={From 4D to 3D chiral theories: Dressing the monopoles}, author={Antonio Amariti and Csaba Cs'aki and Mario Martone and Nicolas Rey-Le Lorier}, journal={Physical Review D}, year={2015}, volume={93}, pages={105027} }

Monopole operators play a central role in 3 dimensional supersymmetric dualities: a careful understanding of their spectrum is necessary to match chiral operators on either sides of a conjectured duality. In Chern-Simons theories ($k\neq0$), monopole operators acquire an electric charge, thus they need to be "dressed" by chiral matter superfields to be made gauge-invariant. Here we present strong evidence that "dressed" monopoles appear in $SU(N)$ chiral theories even for $k=0$ because of mixed…

## 35 Citations

### Chiral Gauge Theories on $R^3 \times S^1$ and SUSY Breaking

- Mathematics
- 2019

We study SU(5) chiral gauge theories on $R^3\times S^1$. With an unequal number of fundamental and antifundmental matter representations we calculate nontrivial pre-ADS superpotentials generated by…

### Pre-ADS superpotential from confined monopoles

- Physics
- 2017

A bstractAccording to the standard lore only single monopoles contribute to the superpotential on the Coulomb branch of 3D N=2$$ \mathcal{N}=2 $$ SUSY gauge theories. However we argue that…

### Low-energy dynamics of 3d N$$ \mathcal{N} $$ = 2 G2 supersymmetric gauge theory

- Physics
- 2018

A bstractWe study a three-dimensional N$$ \mathcal{N} $$ = 2 supersymmetric G2 gauge theory with and without fundamental matters. We find that a classical Coulomb branch of the moduli space of vacua…

### On s-confinement in 3d $\mathcal{N}=2$ gauge theories with anti-symmetric tensors

- Physics
- 2019

We elaborate on s-confinement phases in three-dimensional $\mathcal{N}=2$ supersymmetric gauge theory, especially focusing on the $SU(N)$ and $USp(2N)$ gauge theories with anti-symmetric tensors and…

### 4d/3d reduction of s-confining theories: the role of the “exotic” D instantons

- Physics
- 2016

A bstractThe reduction of 4d Seiberg duality to 3d by compactification on a circle is possible if finite size effects are considered. These effects boil down to the contribution of KK monopole…

### “Chiral” and “non-chiral” 3d Seiberg duality

- MathematicsJournal of High Energy Physics
- 2020

We propose a Seiberg duality for a 3d N $$ \mathcal{N} $$ = 2 Spin (7) gauge theory with F spinor matters. For F ≥ 6, the theory allows a magnetic dual description with an SU( F − 4) gauge group. The…

### 3d deconfinement, product gauge group, Seiberg-Witten and new 3d dualities

- Physics
- 2016

A bstractWe construct a three-dimensional deconfinement method which enables us to find new three-dimensional dualities and we apply various techniques developed in the fourdimensional supersymmetric…

### Webs of 3d 𝒩 = 2 dualities with D-type superpotentials

- MathematicsJournal of High Energy Physics
- 2023

We study 3d 𝒩 = 2 dualities arising from the compactification of 4d 𝒩 = 1 Usp(2n) SQCD with two antisymmetric rank-two tensors and Dk+2-type superpotential, with odd k. The analysis is carried out…