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<p>Symmetric Metric-Affine Gravity is a theory of gravity with an independent non-metric connection, and zero torsion. It can be thought of as ordinary metric gravity coupled to a rank-3 tensor <i>Q</i>, symmetric in one pair of indices. This field carries a spin-3 degree of freedom. We find that, in contrast to the totally symmetric case, it is possible to arrange the parameters in the Lagrangian, so that, at the linearized level, the spin-3 state, either alone or in combination with a spin-0 state, has a healthy propagation.</p>

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Massive spin 3 and Metric-Affine Gravity

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月7日

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  • Roberto Percacci,
  • Ergin Sezgin

摘要

Symmetric Metric-Affine Gravity is a theory of gravity with an independent non-metric connection, and zero torsion. It can be thought of as ordinary metric gravity coupled to a rank-3 tensor Q, symmetric in one pair of indices. This field carries a spin-3 degree of freedom. We find that, in contrast to the totally symmetric case, it is possible to arrange the parameters in the Lagrangian, so that, at the linearized level, the spin-3 state, either alone or in combination with a spin-0 state, has a healthy propagation.