The thesis derives an analytic family of Riemannian metrics on the Gromoll-Meyer exotic 7-sphere via Kaluza-Klein reduction, identifies the maximal-isometry case, and introduces a machine-learning algorithm for finding Einstein metrics on general manifolds.
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Instanton condensation in the matrix model for the BPS index reveals a new instability and dominant phase for small black holes, connected to partial deconfinement.
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A Physicist's Visit to Exotic Spheres
The thesis derives an analytic family of Riemannian metrics on the Gromoll-Meyer exotic 7-sphere via Kaluza-Klein reduction, identifies the maximal-isometry case, and introduces a machine-learning algorithm for finding Einstein metrics on general manifolds.
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Instanton condensation and a new phase of BPS black holes
Instanton condensation in the matrix model for the BPS index reveals a new instability and dominant phase for small black holes, connected to partial deconfinement.