Adding a spectator PQ field with a large early-universe value and a high-dimensional S^mP mixing term can solve the axion domain wall problem and suppress isocurvature, allowing non-trivial domain wall numbers with HI up to about 10^13 GeV.
Monopoles as Big as a Universe
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We show that, contrary to the standard belief, primordial monopoles expand exponentially during inflation in the new inflationary universe scenario. Moreover, inflation of monopoles continues without an end even when inflation ends in the surrounding space. Therefore primordial monopoles (as well as other topological defects produced during inflation) can serve as seeds for the process of eternal self-reproduction of inflationary universe.
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A Dynamical Solution to the Axion Domain Wall Problem
Adding a spectator PQ field with a large early-universe value and a high-dimensional S^mP mixing term can solve the axion domain wall problem and suppress isocurvature, allowing non-trivial domain wall numbers with HI up to about 10^13 GeV.