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Updated: Jul 12, 2026

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

Emergent Spacetime Supersymmetry at 2D Fractionalized Quantum Criticality.

Zhengzhi Wu1,2, Zhou-Quan Wan3, Shao-Kai Jian4

  • 1Tsinghua University, Institute for Advanced Study, Beijing 100084, China.

Physical Review Letters
|July 10, 2026
PubMed
Summary

Emergent spacetime supersymmetry (SUSY) was discovered in a fractionalized quantum critical point within the Kitaev honeycomb model. This finding offers a concrete lattice realization of SUSY in 2D condensed matter systems.

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Area of Science:

  • Condensed matter physics
  • Quantum field theory
  • Materials science

Background:

  • Experimental evidence for spacetime supersymmetry (SUSY) in particle physics is lacking.
  • Condensed matter systems offer potential platforms for emergent SUSY at quantum critical points (QCPs).
  • Emergence of SUSY at fractionalized QCPs is an underexplored area.

Purpose of the Study:

  • To demonstrate emergent spacetime SUSY at a fractionalized QCP.
  • To investigate the Kitaev honeycomb model with Su-Schrieffer-Heeger (SSH) spin-phonon coupling.
  • To explore experimental signatures of emergent SUSY.

Main Methods:

  • Numerical computations
  • Analytical analysis
  • Low-energy field theory incorporating phonon quantum fluctuations

Main Results:

  • The anisotropic SSH-Kitaev model exhibits a fractionalized QCP.
  • This QCP occurs between a Dirac spin liquid and a valence-bond-solid phase with Z_{2} topological order.
  • An emergent N=2 spacetime SUSY was identified at this fractionalized QCP.

Conclusions:

  • Emergent spacetime SUSY can be realized at a fractionalized QCP in a 2D lattice system.
  • The study highlights universal experimental signatures in thermal transport and viscosity.
  • This work provides a concrete lattice realization of emergent SUSY.