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Minimal Massive Supergravity.

Nihat Sadik Deger1,2,3, Marc Geiller4, Jan Rosseel3,5,6

  • 1Department of Mathematics, Bogazici University, Bebek, 34342 Istanbul, Turkey.

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|November 4, 2022
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Summary
This summary is machine-generated.

This study explores minimal massive gravity in three dimensions, revealing that while it allows positive energy bulk gravitons, all viable vacua spontaneously break supersymmetry. Supersymmetric vacua, conversely, exhibit negative central charges with positive energy gravitons.

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Area of Science:

  • Theoretical physics
  • Quantum gravity
  • String theory

Background:

  • Minimal massive gravity in 3D describes a single massive spin-2 mode around an anti-de Sitter vacuum.
  • This model uniquely permits vacua with positive central charges and positive energy bulk gravitons.

Purpose of the Study:

  • To present a novel action for minimal massive gravity and its higher-order extensions.
  • To construct the supersymmetric extension of this model.
  • To investigate the properties of vacua in the supersymmetric model.

Main Methods:

  • Formulation of a new action using a dreibein and independent spin connection.
  • Construction of the supersymmetric extension of the minimal massive gravity model.
  • Analysis of bulk and boundary unitarity conditions.

Main Results:

  • All vacua satisfying unitarity conditions appear to spontaneously break supersymmetry.
  • Supersymmetric vacua are found to possess a negative central charge when the bulk graviton has positive energy.

Conclusions:

  • The interplay between unitarity, supersymmetry, and central charges in 3D gravity is complex.
  • Spontaneous supersymmetry breaking is a common feature in viable vacua of this model.
  • The findings offer new insights into the structure of gravitational theories in three dimensions.