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Setting Limits on Supersymmetry Using Simplified Models
07:46

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Published on: November 15, 2013

Supersymmetric dualities beyond the conformal window.

V P Spiridonov1, G S Vartanov

  • 1Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Moscow Region 141980, Russia. spiridon@theor.jinr.ru

Physical Review Letters
|September 28, 2010
PubMed
Summary

This study introduces Seiberg-type dualities for N=1 supersymmetric field theories beyond conformal windows using superconformal (SC) indices. These dualities apply to theories with chiral superfields exhibiting small or negative R-charges.

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Area of Science:

  • High Energy Physics
  • Quantum Field Theory
  • String Theory

Background:

  • N=1 supersymmetric field theories are fundamental in understanding particle physics beyond the Standard Model.
  • Conformal windows define specific ranges of parameters where theories exhibit conformal symmetry.
  • Seiberg-type dualities relate different quantum field theories that are physically equivalent.

Purpose of the Study:

  • To construct Seiberg-type dualities for N=1 supersymmetric field theories that lie outside the conformal windows.
  • To explore the behavior of theories with chiral superfields possessing small or negative R-charges.

Main Methods:

  • Application of superconformal (SC) indices techniques.
  • Analysis of theories with specific properties of chiral superfields.

Main Results:

  • Successful construction of Seiberg-type dualities for N=1 supersymmetric field theories outside conformal windows.
  • Identification of theories characterized by chiral superfields with small or negative R-charges as the relevant domain for these dualities.

Conclusions:

  • The superconformal (SC) indices provide a powerful tool for uncovering dualities in supersymmetric field theories.
  • The findings extend the understanding of Seiberg-type dualities to a broader class of N=1 supersymmetric theories.