# Seeking SUSY fixed points in the $4-\epsilon$ expansion

@inproceedings{Liendo2021SeekingSF, title={Seeking SUSY fixed points in the \$4-\epsilon\$ expansion}, author={P. Liendo and Junchen Rong}, year={2021} }

We use the 4 − expansion to search for fixed points corresponding to 2 + 1 dimensional N=1 WessZumino models of NΦ scalar superfields interacting through a cubic superpotential. In the NΦ = 3 case we classify all SUSY fixed points that are perturbatively unitary. In the NΦ = 4 and NΦ = 5 cases, we focus on fixed points where the scalar superfields form a single irreducible representation of the symmetry group (irreducible fixed points). For NΦ = 4 we show that the S5 invariant super Potts model… Expand

#### References

SHOWING 1-10 OF 51 REFERENCES

Bootstrapping the minimal 3D SCFT

- Physics
- Journal of High Energy Physics
- 2018

A bstractWe study the conformal bootstrap constraints for 3D conformal field theories with a ℤ2 or parity symmetry, assuming a single relevant scalar operator ϵ that is invariant under the symmetry.… Expand

Bounding scalar operator dimensions in 4D CFT

- Physics
- 2008

In an arbitrary unitary 4D CFT we consider a scalar operator phi, and the operator phi(2) defined as the lowest dimension scalar which appears in the OPE phi x phi with a nonzero coefficient. Using… Expand

$$ \mathcal{N} $$ = 1 QED in 2 + 1 dimensions: dualities and enhanced symmetries

- Physics
- 2018

We consider three-dimensional sQED with 2 flavors and minimal supersymmetry. We discuss various models which are dual to Gross-Neveu-Yukawa theories. The $U(2)$ ultraviolet global symmetry is often… Expand

Heavy handed quest for fixed points in multiple coupling scalar theories in the ε expansion

- Physics
- 2021

The tensorial equations for non trivial fully interacting fixed points at lowest order in the e expansion in 4 − e and 3 − e dimensions are analysed for N-component fields and corresponding… Expand

Curious Aspects of Three-Dimensional N = 1 SCFTs

- 2018

We study the dynamics of certain 3d N = 1 time reversal invariant theories. Such theories often have exact moduli spaces of supersymmetric vacua. We propose several dualities and we test these… Expand

Seeking fixed points in multiple coupling scalar theories in the ε expansion

- Physics
- 2018

A bstractFixed points for scalar theories in 4 − ε, 6 − ε and 3 − ε dimensions are discussed. It is shown how a large range of known fixed points for the four dimensional case can be obtained by… Expand

Renormalization-group study of the fixed points and of their stability for phase transitions with four-component order parameters.

- Medicine, Physics
- Physical review. B, Condensed matter
- 1985

It is shown that if a stable fixed point exists, it is unique, and two general symmetry conditions relative to the stable fixed points determined by the renormalization-group equations are established. Expand

Holography in 4D (super) higher spin theories and a test via cubic scalar couplings

- Physics
- 2005

The correspondences proposed previously between higher spin gauge theories and free singleton fleld theories were recently extended into a more complete picture by Klebanov and Polyakov in the case… Expand

Bounds on multiscalar CFTs in the ε expansion

- Physics
- 2021

We study fixed points with N scalar fields in 4 − e dimensions to leading order in e using a bottom-up approach. We do so by analyzing O(N) invariants of the quartic coupling λijkl that describes… Expand

Bootstrapping mixed correlators in three-dimensional cubic theories II

- Physics
- 2018

Conformal field theories (CFTs) with cubic global symmetry in 3D are relevant in a variety of condensed matter systems and have been studied extensively with the use of perturbative methods like the… Expand