# Between Symmetry and Duality in Supersymmetric Quantum Field Theories.

@article{Razamat2018BetweenSA, title={Between Symmetry and Duality in Supersymmetric Quantum Field Theories.}, author={Shlomo S. Razamat and Orr Sela and Gabi Zafrir}, journal={Physical review letters}, year={2018}, volume={120 7}, pages={ 071604 } }

We study two cases of interrelations between the enhancement of symmetries in the infrared (IR) and duality properties of supersymmetric quantum field theories in four dimensions. First, we discuss an SU(2) N=1 model with four flavors, singlet fields, and a superpotential. We show that this model flows to a conformal field theory with E_{6}×U(1) global symmetry. The enhancement of the flavor symmetry follows from Seiberg duality. The second example is concerned with an SU(4) gauge theory with…

## 15 Citations

### Curious patterns of IR symmetry enhancement

- MathematicsJournal of High Energy Physics
- 2018

A bstractWe study several cases of IR enhancements of global symmetry in four dimensions. In particular, we consider a sequence of Spin(n + 4) supersymmetric gauge theories (8 ≥ n ≥ 1) with n vectors…

### Symmetry enhancement and duality walls in 5d gauge theories

- PhysicsJournal of High Energy Physics
- 2020

Gauge theories in four dimensions can exhibit interesting low energy phenomena, such as infrared enhancements of global symmetry. We explore a class of 4d N $$ \mathcal{N} $$ = 1 gauge theories…

### Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d

- MathematicsJournal of High Energy Physics
- 2019

Abstract
We consider a known sequence of dualities involving 4d
$$ \mathcal{N} $$
N
= 1 theories with Spin(n) gauge groups and use it to construct a new sequence of models exhibiting…

### Flips, dualities and symmetry enhancements

- PhysicsJournal of High Energy Physics
- 2020

Abstract
We present various 4d $$ \mathcal{N} $$
N
= 1 theories enjoying IR global symmetry enhancement. The models we consider have the USp(2N) gauge group, 8 fundamental, one antisymmetric…

### Sequential deconﬁnement and self-dualities in 4 d N = 1 gauge theories

- Mathematics
- 2022

: We apply the technique of sequential deconﬁnement to the four dimensional N =1 Usp (2 N ) gauge theory with an antisymmetric ﬁeld and 2 F fundamentals. The fully deconﬁned frame is a length- N…

### USp(2Nc) SQCD3 with antisymmetric: dualities and symmetry enhancements

- MathematicsJournal of High Energy Physics
- 2019

A bstractWe study various aspects of the 4d/3d reduction of N$$ \mathcal{N} $$ = 1 dualities involving USp(2Nc) gauge theories with 2Nf fundamentals and one antisymmetric. We discuss the non-trivial…

### Sequential deconfinement and self-dualities in 4d $$ \mathcal{N} $$ = 1 gauge theories

- MathematicsJournal of High Energy Physics
- 2022

Abstract
We apply the technique of sequential deconfinement to the four dimensional $$ \mathcal{N} $$
N
= 1 U sp(2N) gauge theory with an antisymmetric field and 2F fundamentals. The fully…

### 4d N$$ \mathcal{N} $$ = 1 quiver gauge theories and the An Bailey lemma

- Mathematics
- 2018

A bstractWe study the integral Bailey lemma associated with the An-root system and identities for elliptic hypergeometric integrals generated thereby. Interpreting integrals as superconformal indices…

### Compactifying 5d superconformal field theories to 3d

- MathematicsJournal of High Energy Physics
- 2021

Abstract
Building on recent progress in the study of compactifications of 6d (1, 0) superconformal field theories (SCFTs) on Riemann surfaces to 4d$$ \mathcal{N} $$
N
= 1 theories, we initiate a…

## References

SHOWING 1-10 OF 24 REFERENCES

### An E7 surprise

- Physics
- 2012

A bstractWe explore some curious implications of Seiberg duality for an SU(2) four-dimensional gauge theory with eight chiral doublets. We argue that two copies of the theory can be deformed by an…

### An Index for 4 Dimensional Super Conformal Theories

- Physics
- 2007

We present a trace formula for an index over the spectrum of four dimensional superconformal field theories on S3 × time. Our index receives contributions from states invariant under at least one…

### Elliptic Hypergeometry of Supersymmetric Dualities

- Mathematics
- 2011

We give a full list of known $${\mathcal{N}=1}$$ supersymmetric quantum field theories related by the Seiberg electric-magnetic duality conjectures for SU(N), SP(2N) and G2 gauge groups. Many of the…

### E‐String Theory on Riemann Surfaces

- Mathematics
- 2017

We study compactifications of the 6d E‐string theory, the theory of a small E8 instanton, to four dimensions. In particular we identify N=1 field theories in four dimensions corresponding to…

### Deconfined quantum critical points: symmetries and dualities

- Physics
- 2017

The deconfined quantum critical point (QCP), separating the Neel and valence bond solid phases in a 2D antiferromagnet, was proposed as an example of ð2 þ 1ÞD criticality fundamentally different from…