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Supersolid inflation is a class of inflationary theories that simultaneously breaks time and space reparameterization invariance during inflation, with distinctive features for the dynamics of cosmological fluctuations.
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S. Endlich, A. Nicolis, and J. Wang, “Solid Inflation,” JCAP
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A. Golovnev, V. Mukhanov, and V. Vanchurin, “Vector Inflation,” JCAP
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