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Setting Limits on Supersymmetry Using Simplified Models
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Disordered Vector Models: From Higher Spins to Incipient Strings.

Chi-Ming Chang1,2, Sean Colin-Ellerin3, Cheng Peng4

  • 1Yau Mathematical Science Center (YMSC), Tsinghua University, Beijing 100084, China.

Physical Review Letters
|July 16, 2022
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Summary
This summary is machine-generated.

We introduce large N disordered models in 3D, bridging higher spin and string theories. The supersymmetric version is stable, but the non-supersymmetric one has limited parameter range for unitarity.

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Area of Science:

  • Theoretical Physics
  • High Energy Physics
  • String Theory

Background:

  • Large N disordered models offer insights into quantum field theories.
  • Connections between higher spin theories and string theory are actively researched.

Purpose of the Study:

  • To explore a one-parameter family of large N disordered models in three spacetime dimensions.
  • To investigate the interpolation between higher spin and string theory duals.
  • To analyze the properties of both supersymmetric and non-supersymmetric versions of these models.

Main Methods:

  • Analysis of the spectrum of the models.
  • Examination of operator product expansion data.
  • Comparison of supersymmetric and non-supersymmetric scenarios.

Main Results:

  • A one-parameter family of large N disordered models was constructed.
  • The models interpolate between higher spin and string theory regimes.
  • The supersymmetric model exhibits consistent behavior, while the non-supersymmetric model shows limited unitarity.

Conclusions:

  • The study provides a framework for understanding the transition from higher spin to string theories.
  • The unitarity constraints on non-supersymmetric models highlight important theoretical limitations.
  • Speculations on the emergence of string theory from higher spin theories are proposed.