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Updated: Sep 2, 2025

Setting Limits on Supersymmetry Using Simplified Models

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

Parisi-Sourlas Supersymmetry in Random Field Models.

Apratim Kaviraj^1,2,3, Slava Rychkov^2,4, Emilio Trevisani^2,5

¹Institut de Physique Théorique Philippe Meyer, ENS, Université PSL, CNRS Sorbonne Université, Université de Paris, F-75005 Paris, France.

Physical Review Letters

|August 8, 2022

Summary

This summary is machine-generated.

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The Parisi-Sourlas conjecture suggests a supersymmetric conformal field theory (CFT) describes random field disorder critical points. This study explains why this CFT is not reached for certain models due to new SUSY-breaking interactions.

Area of Science:

Condensed Matter Physics
High Energy Physics
Statistical Mechanics

Background:

The Parisi-Sourlas conjecture posits a connection between random field (RF) disorder critical points and supersymmetric (SUSY) conformal field theories (CFTs).
Numerical studies support this for the RF $\phi^3$ model but not the RF $\phi^4$ model in dimensions below 5.

Purpose of the Study:

To investigate why the predicted SUSY fixed point is not attained in the RF $\phi^4$ model.
To identify the mechanisms preventing the realization of the conjectured SUSY CFT.

Main Methods:

Utilizing a perturbative renormalization group approach.
Employing a carefully selected field basis for systematic interaction analysis.

Main Results:

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Last Updated: Sep 2, 2025

Setting Limits on Supersymmetry Using Simplified Models

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Published on: November 15, 2013

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Identified new relevant SUSY-breaking interactions as the cause for not reaching the SUSY fixed point.
Developed a method to systematically explore the interaction space.

Conclusions:

The findings explain the discrepancy between the Parisi-Sourlas conjecture and numerical results for the RF $\phi^4$ model.
The perturbative renormalization group calculations align with existing numerical data for both cubic and quartic potentials.